Tootfinder

Globalization and the biactegory of partial modules
Eliezer Batista, William Hautekiet, Joost Vercruysse
https://arxiv.org/abs/2506.18451 https://

Globalization and the biactegory of partial modules
We show that the category of partial modules over a Hopf algebra $H$ is a biactegory (a bimodule category) over the category of global $H$-modules. The corresponding enrichment of partial modules over global modules is described, and the close relation between the dilation of partial modules and Hom-objects arising from this enrichment is investigated. In particular, for finite-dimensional pointed Hopf algebras, the standard dilation of a partial module $M$ is isomorphic to the Hom-object from …

On sequentially Cohen-Macaulay modules and sequentially generalized Cohen-Macaulay modules
Nguyen Xuan Linh, Le Thanh Nhan
https://arxiv.org/abs/2506.17717

On sequentially Cohen-Macaulay modules and sequentially generalized Cohen-Macaulay modules
We introduce the notions of sequential sequence and sequential f-sequence in order to characterize sequentially Cohen-Macaulay modules and sequentially generalized Cohen-Macaulay modules. Let R be a Noetherian local ring and M a finitely generated R-module. We show that M is sequentially Cohen-Macaulay (resp. sequentially generalized Cohen-Macaulay) if and only if there exists a system of parameters of M that is an M- sequential sequence (resp. each generalized regular sequence s.o.p of M is an…

Simple smooth modules over the Lie algebras of polynomial vector fields
Zhiqiang Li, Cunguang Cheng, Shiyuan Liu, Rencai Lu, Kaiming Zhao, Yueqiang Zhao
https://arxiv.org/abs/2506.18262

Simple smooth modules over the Lie algebras of polynomial vector fields
Let $\mathfrak{g}:={\rm Der}(\mathbb{C}[t_1, t_2,\cdots, t_n])$ and $\mathcal{L}:={\rm Der}(\mathbb{C}[[t_1, t_2,\cdots, t_n]])$ be the Witt Lie algebras. Clearly, $\mathfrak{g}$ is a proper subalegbra of $\mathcal{L}$. Surprisingly, we prove that simple smooth modules over $\mathfrak{g}$ are exactly the simple modules over $\mathcal{L}$ studied by Rodakov (no need to take completion). Then we find an easy and elementary way to classify all simple smooth modules over $\mathfrak{g}$. When the …

Projective length, phantom extensions, and the structure of flat modules
Matteo Casarosa, Martino Lupini
https://arxiv.org/abs/2506.17982 https://

Projective length, phantom extensions, and the structure of flat modules
We consider the natural generalization of the notion of the order of a phantom map from the topological setting to triangulated categories. When applied to the derived category of the category of countable flat modules over a countable Dedekind domain, this yields a notion of\emph{\ phantom extension} of order $α<ω_{1}$. We provide a complexity-theoretic characterization of the module $\mathrm{Ph}% ^{α}\mathrm{Ext}\left( C,A\right) $ of phantom extensions of order $α$ with respect to the st…

FreeBSD: new package repositories for kernel modules
https://lists.freebsd.org/archives/freebsd-current/2025-May/007611.html
For FreeBSD 14.3-BETA4:

Finiteness of associated primes for local cohomology modules of excellent locally unramified regular rings of finite Krull dimension
Takumi Murayama
https://arxiv.org/abs/2506.17875

Finiteness of associated primes for local cohomology modules of excellent locally unramified regular rings of finite Krull dimension
Thirty years ago, Huneke (for local rings) and Lyubeznik (in general) conjectured that for all regular rings $R$, the local cohomology modules $H^i_I(R)$ have finitely many associated prime ideals. We prove substantial new cases of their conjecture by proving that the local cohomology modules $H^i_I(R)$ have finitely many associated prime ideals whenever $R$ is an excellent regular ring of finite Krull dimension such that $R/pR$ is regular and $F$-finite for every prime number $p$. Our result i…

Test beam measurements and computer simulations of the ATLAS ITk R2 silicon strip detector
Jan-Hendrik Arling, Pavol Federic, Yajun He, Cole Michael Helling, Nigel Hessey, Lennart Huth, Geetika Jain, Callan Jessiman, Sebastian Manson, Luise Poley, John Stakely Keller, Jiri Kroll, Jiri Kvasnicka, Radek Privara, Peter Speers, Pavel Tuma
https://…

Test beam measurements and computer simulations of the ATLAS ITk R2 silicon strip detector
The ATLAS Inner Tracker, the future innermost part of the ATLAS detector, is an all-silicon tracker composed of pixel and strip modules, designed to cope with the extreme conditions expected during High-Luminosity LHC runs. Thorough testing of modules during the individual phases of their development is critical to ensure the required performance level of the whole tracker. This document presents results obtained from electron beam measurements of the ATLAS ITk R2 end-cap strip module. Key perf…

Retrieving biparameter persistence modules from monoparameter ones: a characterization of hook-decomposable persistence modules
Isabella Mastroianni, Marco Guerra, Ulderico Fugacci, Emanuela De Negri
https://arxiv.org/abs/2506.14678

Retrieving biparameter persistence modules from monoparameter ones: a characterization of hook-decomposable persistence modules
Motivated by the need to relate the biparameter persistence module induced by a pair of scalar functions with the monoparameter persistence modules induced by each function separately, we introduce a construction that defines a kind of product between two monoparameter persistence modules. While originally conceived to serve this comparative purpose, our construction unexpectedly reveals a deeper structural property: it also characterizes a class of biparameter modules known as hook-decomposabl…

Automated Energy Billing with Blockchain and the Prophet Forecasting Model: A Holistic Approach
Ajesh Thangaraj Nadar, Soham Chandane, Gabriel Nixon Raj, Nihar Mahesh Pasi, Yash Arvind Patil
https://arxiv.org/abs/2506.16649

Automated Energy Billing with Blockchain and the Prophet Forecasting Model: A Holistic Approach
This paper presents a comprehensive approach to automated energy billing that leverages IoT-based smart meters, blockchain technology, and the Prophet time series forecasting model. The proposed system facilitates real-time power consumption monitoring via Wi-Fi-enabled ESP32 modules and a mobile application interface. It integrates Firebase and blockchain for secure, transparent billing processes and employs smart contracts for automated payments. The Prophet model is used for energy demand fo…

This https://arxiv.org/abs/2407.19999 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Auslander-Reiten annihilators
The Auslander-Reiten Conjecture for commutative Noetherian rings predicts that a finitely generated module is projective when certain Ext-modules vanish. But what if those Ext-modules do not vanish? We study the annihilators of these Ext-modules and formulate a generalisation of the Auslander-Reiten Conjecture. We prove this general version for high syzygies of modules over several classes of rings including analytically unramified Arf rings, 2-dimensional local normal domains with rational sin…

VS-Singer: Vision-Guided Stereo Singing Voice Synthesis with Consistency Schr\"odinger Bridge
Zijing Zhao, Kai Wang, Hao Huang, Ying Hu, Liang He, Jichen Yang
https://arxiv.org/abs/2506.16020

VS-Singer: Vision-Guided Stereo Singing Voice Synthesis with Consistency Schrödinger Bridge
To explore the potential advantages of utilizing spatial cues from images for generating stereo singing voices with room reverberation, we introduce VS-Singer, a vision-guided model designed to produce stereo singing voices with room reverberation from scene images. VS-Singer comprises three modules: firstly, a modal interaction network integrates spatial features into text encoding to create a linguistic representation enriched with spatial information. Secondly, the decoder employs a consiste…

This https://arxiv.org/abs/2407.19999 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Auslander-Reiten annihilators
The Auslander-Reiten Conjecture for commutative Noetherian rings predicts that a finitely generated module is projective when certain Ext-modules vanish. But what if those Ext-modules do not vanish? We study the annihilators of these Ext-modules and formulate a generalisation of the Auslander-Reiten Conjecture. We prove this general version for high syzygies of modules over several classes of rings including analytically unramified Arf rings, 2-dimensional local normal domains with rational sin…

Replaced article(s) found for math.RT. https://arxiv.org/list/math.RT/new
[1/1]:
- Generic modules for the category of filtered by standard modules
Raymundo Bautista Ramos, Jes\'us Efr\'en P\'erez Terrazas, Leonardo Salmer\'on Castro

FramePrompt: In-context Controllable Animation with Zero Structural Changes
Guian Fang, Yuchao Gu, Mike Zheng Shou
https://arxiv.org/abs/2506.17301 https:/…

FramePrompt: In-context Controllable Animation with Zero Structural Changes
Generating controllable character animation from a reference image and motion guidance remains a challenging task due to the inherent difficulty of injecting appearance and motion cues into video diffusion models. Prior works often rely on complex architectures, explicit guider modules, or multi-stage processing pipelines, which increase structural overhead and hinder deployment. Inspired by the strong visual context modeling capacity of pre-trained video diffusion transformers, we propose Fram…

Reconstruction theorems for coadmissible D-cap-modules
Finn Wiersig
https://arxiv.org/abs/2506.12601 https://arxiv.org/pdf/2506.12601…

Reconstruction theorems for coadmissible D-cap-modules
We prove a Riemann-Hilbert correspondence for Ardakov-Wadsley's coadmissible D-cap-modules and, more generally, for Bode's $\mathcal{C}$-complexes. More precisely, we show that any given $\mathcal{C}$-complex can be reconstructed out of its solutions. As a corollary, we find that slight modifications of the solution and de Rham functors introduced by the author are fully faithful on $\mathcal{C}$-complexes and, in particular, on coadmissible D-cap-modules. One of the many steps of our proof is …

Finiteness of the set of associated primes for local cohomology modules of ideals via properties of almost factorial rings
Ryotaro Hanyu
https://arxiv.org/abs/2506.17586

Finiteness of the set of associated primes for local cohomology modules of ideals via properties of almost factorial rings
We investigate the finiteness of the set of associated primes for local cohomology modules $H_I^{i}(J)$ of an ideal $J$ generated by an $R$-sequence, through the comparison of $H_I^{d+1}(J)$ and $H_I^d(R/J)$, where $d = \mathrm{depth}_I(R)$. The properties of almost factorial rings play a key role in enabling this comparison. Under suitable conditions, we prove that the finiteness of $\mathrm{Ass} H_I^{d+1}(J)$ is equivalent to that of $\mathrm{Ass} H_I^d(R/J)$. Moreover, we give a few conditio…

Good code release at work and zero issues! People don't see all the work done in the background weeks before.
Multiple walkthroughs with some of the clients, testers, developers, and the support team. The full set of instructions, modules, db changes, job changes, and schedule changes are reviewed. The day of the release, the support team and release coordinator (me) walk through every job that implements the release, special jobs, backups, and checkpoints.
When done, we d…

The Moduli Stack of Breuil-Kisin Modules with Descent Data for Reductive Groups
Eivind Otto Hjelle
https://arxiv.org/abs/2506.11910 https://

The Moduli Stack of Breuil-Kisin Modules with Descent Data for Reductive Groups
We introduce and study the moduli stack $\mathcal{Y}$ of Breuil-Kisin modules with $\hat{G}$-structure and descent data, or Breuil-Kisin $(Γ,\hat{G})$-torsors for short. Specifically, for a dominant cocharacter $μ$, we define the moduli stack $\mathcal{Y}^{\leq μ}$ of Breuil-Kisin $(Γ,\hat{G})$-torsors with Hodge-Tate weights bounded by $μ$. We prove that $\mathcal{Y}^{\leq μ}$ is a $p$-adic formal algebraic stack, and show that it is smoothly equivalent to (the $p$-adic completion of) a …

Tensor product modules over the planar Galilean conformal algebra from free modules of rank one
Jin Cheng, Dongfang Gao, Ziting Zeng
https://arxiv.org/abs/2506.14893

Tensor product modules over the planar Galilean conformal algebra from free modules of rank one
In this paper, we investigate the irreducible tensor product modules over the planar Galilean conformal algebra $\mathcal{G}$ named by Aizawa, which is the infinite-dimensional Galilean conformal algebra introduced by Bagchi-Gopakumar in $(2+1)$ dimensional space-time. We give the necessary and sufficient conditions for the tensor product modules of any two of $\mathcal{U}(\mathfrak{h})$-free modules of rank one over $\mathcal{G}$ to be irreducible, where $\mathfrak{h}$ is the Cartan subalgebra…

Failure of flatness over finite-dimensional Hopf subalgebras
Serge Skryabin
https://arxiv.org/abs/2506.16292 https://arxiv.org/pdf/25…

Failure of flatness over finite-dimensional Hopf subalgebras
It is proved in this paper that for any finite-dimensional nonsemisimple Hopf algebra $A$ there exists a Hopf algebra $H$ containing $A$ as a Hopf subalgebra such that $H$ is not flat over $A$. On the other hand, there is a class of infinite-dimensional Hopf algebras with the property that all Hopf algebras without exception are faithfully flat modules over Hopf subalgebras from this class.

from my link log —
Static interpretation of higher-order modules in Futhark: functional GPU programming in the large.
https://dl.acm.org/doi/10.1145/3236792
saved 2025-05-09

On Projective modules over graded $R$-subalgebras of $R[X,1/X]$
Diksha Garg, Anjan Gupta
https://arxiv.org/abs/2506.18826 https://arx…

On Projective modules over graded $R$-subalgebras of $R[X,1/X]$
Let $R$ be a Noetherian ring of dimension $d$ and $A$ be a graded $R$-subalgebra of $R[X,1/X]$. Let $P$ be a projective module over $A$ of rank $r \geq \max\{d+1,2\}$ and $\v=(a,p)$ be a unimodular element of $A \oplus P$. We find an elementary automorphism $τ$ such that $τ(\v) = (1, 0)$. Consequently, we obtain the cancellative property of $P$. We show that $P$ splits off a free summand of rank one. When $A = R[X]$ or $R[X, 1/ X]$, the results are well-known due to the contributions by vario…

Localising invariants in derived bornological geometry
Jack Kelly, Devarshi Mukherjee
https://arxiv.org/abs/2505.15750 https://arxiv.…

Localising invariants in derived bornological geometry
We study several categories of analytic stacks relative to the category of bornological modules over a Banach ring. When the underlying Banach ring is a nonarchimedean valued field, this category contains derived rigid analytic spaces as a full subcategory. When the underlying field is the complex numbers, it contains the category of derived complex analytic spaces. In the second part of the paper, we consider localising invariants of rigid categories associated to bornological algebras. The ma…

Are you looking for the tools to help your #church youth leaders to accompany, work with, and support #LGBTQ young people? We have put together a curriculum that will allow you to do this at

Accompanying LGBTQ+ Youth — Yale Youth Ministry Institute
Theologians and practitioners discuss the importance of supporting and walking with LGBTQ+ youth.

The second Hilbert coefficient of modules with almost maximal depth
Van Duc Trung
https://arxiv.org/abs/2506.17591 https://arxiv.org/…

The second Hilbert coefficient of modules with almost maximal depth
Let $\mathbb{M} = \{ M_n \}$ be a good $\mathfrak{q}$-filtration of a finitely generated $R$-module $M$ of dimension $d$, where $(R,\mathfrak{m})$ is a local ring and $\mathfrak{q}$ is an $\mathfrak{m}$-primary ideal of $R$. In case $depth(M) \geq d-1$, we give an upper bound for the second Hilbert coefficient $e_2(\mathbb{M})$ generalizing results by Huckaba-Marley and Rossi-Valla proved assuming that $M$ is Cohen-Macaulay. We also give a condition for the equality, which relates to the depth …

Has anyone provided helper functions with and for one of their :nixos: #NixOS modules? 🤔
https://discourse.nixos.org/t/providing-helper-functions-in-and…

Providing helper functions in and for a module
Some (of my) module options would benefit greatly from helper functions for defining option values. An example would be populating services.jupyterub.kernels, which can get quite verbose if you include things like wrapping in an FHS env or custom virtualenv management. Sure, types.submodule exists, but such a submodule is rather suitable for perfectly similar structures with just different values. Instead, something like this would be helpful: { pkgs, config, lib, ... }: { services.jupyterhu…

Detecting Hardware Trojans in Microprocessors via Hardware Error Correction Code-based Modules
Alessandro Palumbo, Ruben Salvador
https://arxiv.org/abs/2506.15417

Detecting Hardware Trojans in Microprocessors via Hardware Error Correction Code-based Modules
Software-exploitable Hardware Trojans (HTs) enable attackers to execute unauthorized software or gain illicit access to privileged operations. This manuscript introduces a hardware-based methodology for detecting runtime HT activations using Error Correction Codes (ECCs) on a RISC-V microprocessor. Specifically, it focuses on HTs that inject malicious instructions, disrupting the normal execution flow by triggering unauthorized programs. To counter this threat, the manuscript introduces a Hardw…

Bordered Heegaard Floer modules for satellite operations using planar graphs
Shikhin Sethi
https://arxiv.org/abs/2506.04222 https://a…

Bordered Heegaard Floer modules for satellite operations using planar graphs
Lipshitz, Ozsváth, and Thurston extend the theory of bordered Heegaard Floer homology to compute $\mathbf{CF}^-$. Like with the hat theory, their minus invariants provide a recipe to compute knot invariants associated to satellite knots. We combinatorially construct the weighted $A_\infty$-modules associated to the $(p, 1)$-cable. The operations on these modules count certain classes of inductively constructed decorated planar graphs. This description of the weighted $A_\infty$-modules provide…

A Specht Filtration of Permutation Modules Over KLR Algebras
Tao Qin
https://arxiv.org/abs/2506.15133 https://arxiv.org/pdf/2506.1513…

A Specht Filtration of Permutation Modules Over KLR Algebras
In type A, Kleshchev-Ram-Mathas realize Specht modules as quotient of Permutation modules, in this paper, we construct a Specht filtration of Permutation modules indexed by hook partition in affine type A; and construct a generalized Specht filtration of Permutation modules indexed by any partition in linear quiver case.

On slice regular fractal-fractional Dirichlet type spaces
Jos\'e Oscar Gonz\'alez-Cervantes, Carlos Alejandro Moreno-Mu\~noz, Juan Bory-Reyes
https://arxiv.org/abs/2506.14172

On slice regular fractal-fractional Dirichlet type spaces
In this paper, we study some families of right modules of quaternionic slice regular functions induced by a generalized fractal-fractional derivative with respect to a truncated quaternionic exponential function on slices. Important Banach spaces of slice regular functions, namely the Bergman and the Dirichlet modules, are two important elements of one of our families.

Radical property of the traces of the canonical modules of Cohen-Macaulay rings
Mitsuhiro Miyazaki
https://arxiv.org/abs/2506.17987 https://

Radical property of the traces of the canonical modules of Cohen-Macaulay rings
In this paper, we define a new concept of Noetherian commutative rings which stands between Gorenstein and Cohen-Macaulay properties. We show that this new property keep hold under common operations of commutative rings such as localization, polynomial extension and under mild assumptions, flat extension, tensor product, Segre product and so on. We show that for Schubert cycles, the Ehrhart rings of cycle graphs and perfect graphs, this new concept is close to Gorenstein property.

An isometry theorem induced by the Radon transform between the convolution and interleaving distances
Michiaki Takiwaki
https://arxiv.org/abs/2506.12046 ht…

An isometry theorem induced by the Radon transform between the convolution and interleaving distances
One-parameter persistence modules are applied to various subjects as tools in data analysis. On the other hand, since the theoretical study of multi-parameter persistence modules is not enough and in progress, they have few applications. The sheaf theory is expected to elucidate detailed properties of persistence modules and give features of multi-parameter ones for applications. However, the categories of sheaves on two or more dimensional Euclidean spaces have more complicated structures than…

3DGS-IEval-15K: A Large-scale Image Quality Evaluation Database for 3D Gaussian-Splatting
Yuke Xing, Jiarui Wang, Peizhi Niu, Wenjie Huang, Guangtao Zhai, Yiling Xu
https://arxiv.org/abs/2506.14642

3DGS-IEval-15K: A Large-scale Image Quality Evaluation Database for 3D Gaussian-Splatting
3D Gaussian Splatting (3DGS) has emerged as a promising approach for novel view synthesis, offering real-time rendering with high visual fidelity. However, its substantial storage requirements present significant challenges for practical applications. While recent state-of-the-art (SOTA) 3DGS methods increasingly incorporate dedicated compression modules, there is a lack of a comprehensive framework to evaluate their perceptual impact. Therefore we present 3DGS-IEval-15K, the first large-scale …

It has become relatively easy & affordable to put together an LED Matrix sign. Recently I put together a 6 panel display using 1/8 scan modules for something much brighter than the 1/16 & 1/32 scan modules I usually use. It's bright enough to carry around in high noon sunlight. (I wish it were brighter still)
For past projects with realtime graphics, I've used hzeller's raspberry pi library. Here I used the Huidu HD-D16 controller board that seems to be ARM FPGA …

TUM Teleoperation: Open Source Software for Remote Driving and Assistance of Automated Vehicles
Tobias Kerbl, David Brecht, Nils Gehrke, Nijinshan Karunainayagam, Niklas Krauss, Florian Pfab, Richard Taupitz, Ines Trautmannsheimer, Xiyan Su, Maria-Magdalena Wolf, Frank Diermeyer
https://arxiv.org/abs/2506.13933

TUM Teleoperation: Open Source Software for Remote Driving and Assistance of Automated Vehicles
Teleoperation is a key enabler for future mobility, supporting Automated Vehicles in rare and complex scenarios beyond the capabilities of their automation. Despite ongoing research, no open source software currently combines Remote Driving, e.g., via steering wheel and pedals, Remote Assistance through high-level interaction with automated driving software modules, and integration with a real-world vehicle for practical testing. To address this gap, we present a modular, open source teleoperat…

Started laying out the power supply for the switch engine board. Still needs some work but it's getting there,

Automatic Qiskit Code Refactoring Using Large Language Models
Jos\'e Manuel Su\'arez, Luis Mariano Bibb\'o, Joaquin Bogado, Alejandro Fernandez
https://arxiv.org/abs/2506.14535

Automatic Qiskit Code Refactoring Using Large Language Models
As quantum software frameworks evolve, developers face increasing challenges in maintaining compatibility with rapidly changing APIs. In this work, we present a novel methodology for refactoring Qiskit code using large language models (LLMs). We begin by extracting a taxonomy of migration scenarios from the different sources of official Qiskit documentation (such as release notes), capturing common patterns such as migration of functionality to different modules and deprecated usage. This taxon…

rant on software dev practices
What is it with P5js and virtually all its ecosystem (like Q5js) that, still today, didn't manage to _properly_ package their libraries to be distributed and used via package managers?
Same with their insistence to push global resources and state everywhere... and of course virtually not documenting any of the truly delicate details, just the trivial stuff that could be auto-discovered by relying on auto-complete tools.
I kind of understand wanting to keep the vanilla experience alive, making it "easy" for novices... but that shouldn't be at odds with more "professionalized" production pipelines, at least *not that much*.
For example, with Q5js:
- The NPM packages could be mentioned in their documentation (they are not, even though they are official)
- The NPM packages could define proper exports (same for the JS modules themselves), not forcing us to rely on relative paths to files in node_modules... 🤦
- Globals could be at least namespaced... of course, it would be much, much better if they didn't exist at all.
I'm writing this in 2025, not 1993... and I'm... "triggered".
At this point I'll have to check if I have any other neuro-condition beyond ADHD that makes me "obsessed" with technical flaws, because it seems to be a "me problem" when either virtually nobody sees that as a huge collection of fatal design flaws... or they see it and don't care at all.

I have a habbit of making (too) many (small) packages for functionality that might be reused in different context. {box} might be an alternative by making scripts into modlues that can be loaded: #RStats

‘box’: Write Reusable, Composable and Modular R Code
A modern module system for R. Organise code into hierarchical, composable, reusable modules, and use it effortlessly across projects via a flexible, declarative dependency loading syntax.

Simulation of irradiated hybrid planar pixels modules at fluences expected at HL-LHC
Marco Bomben
https://arxiv.org/abs/2506.10823 https://

Simulation of irradiated hybrid planar pixels modules at fluences expected at HL-LHC
Signal loss is the main limitation on tracking/vertexing performance due to radiation damage effect to hybrid pixel detectors when irradiated at fluences expected at High Luminosity LHC (HL-LHC). It is important to have reliable predictions on the charge collection performance after irradiation in order to predict operational voltage values and test tracking algorithms robustness. In this paper the validation of combined TCAD and Monte Carlo simulations of hybrid silicon planar pixels sensors w…

DDiT: Dynamic Resource Allocation for Diffusion Transformer Model Serving
Heyang Huang, Cunchen Hu, Jiaqi Zhu, Ziyuan Gao, Liangliang Xu, Yizhou Shan, Yungang Bao, Sun Ninghui, Tianwei Zhang, Sa Wang
https://arxiv.org/abs/2506.13497

DDiT: Dynamic Resource Allocation for Diffusion Transformer Model Serving
The Text-to-Video (T2V) model aims to generate dynamic and expressive videos from textual prompts. The generation pipeline typically involves multiple modules, such as language encoder, Diffusion Transformer (DiT), and Variational Autoencoders (VAE). Existing serving systems often rely on monolithic model deployment, while overlooking the distinct characteristics of each module, leading to inefficient GPU utilization. In addition, DiT exhibits varying performance gains across different resoluti…

\'Etale algebras and the Kummer theory of finite Galois modules
Evan M. O'Dorney
https://arxiv.org/abs/2506.11310 https://arx…

Étale algebras and the Kummer theory of finite Galois modules
Galois cohomology groups $H^i(K,M)$ are widely used in algebraic number theory, in such contexts as Selmer groups of elliptic curves, Brauer groups of fields, class field theory, and Iwasawa theory. The standard construction of these groups involves maps out of the absolute Galois group $G_K$, which in many cases of interest (e.g. $K = \mathbb{Q}$) is too large for computation or even for gaining an intuitive grasp. However, for finite $M$, an element of $H^i(K,M)$ can be described by a finite …

This https://arxiv.org/abs/2411.13382 has been replaced.
initial toot: https://mastoxiv.page/@arXi…

Recitation tasks revamped? Students' perceptions of smartphone-based experimental and programming tasks in introductory mechanics
This exploratory field study investigates the integration of innovative forms of recitation tasks in a first-year introductory mechanics course, focusing on smartphone-based experimental tasks alongside programming and standard recitation tasks. Smartphones, combined with external sensor modules, serve as a gateway enabling students to conduct various low-cost and authentic physics experiments with first-hand data collection outside traditional lab settings. These tasks aim to enhance students'…

GalaxyGenius: A Mock Galaxy Image Generator for Various Telescopes from Hydrodynamical Simulations
Xingchen Zhou, Hang Yang, Nan Li, Qi Xiong, Furen Deng, Xian-Min Meng, Renhao Ye, Shiyin Shen, Peng Wei, Qifan Cui, Zizhao He, Ayodeji Ibitoye, Chengliang Wei, Yuedong Fang
https://arxiv.org/abs/2506.15060

GalaxyGenius: A Mock Galaxy Image Generator for Various Telescopes from Hydrodynamical Simulations
To advance research on galaxies in the era of large-scale sky surveys, we introduce GalaxyGenius, a Python package designed to produce synthetic galaxy images tailored to different telescopes based on hydrodynamical simulations. The package comprises three main modules: data preprocessing, ideal data cube generation, and mock observation. Specifically, the preprocessing module extracts necessary properties of star and gas particles for a selected subhalo from hydrodynamical simulations and crea…

Invariant submodules of modular operators and Lomonosov type theorem for Hilbert C*-modules
Kamran Sharifi
https://arxiv.org/abs/2506.01161 https://…

Invariant submodules of modular operators and Lomonosov type theorem for Hilbert C*-modules
In this paper, we introduce the notion of invariant submodule in the theory of Hilbert C*-modules and study some basic properties of bounded adjointable operators and their generalized inverses which have nontrivial invariant submodules. We demonstrate the representation of the solution set of an operator equation on Hilbert C*-modules by taking advantage of invariant submodules. In particular, we consider the special cases of finite dimensional C*-algebras and C*-algebras of compact operators …

This https://arxiv.org/abs/2403.10366 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

A Graded Schur Lemma and a graded-monoidal structure for induced modules over graded-commutative algebras
We consider algebras and Frobenius algebras, internal to a monoidal category, that are graded over a finite abelian group. For the case that A is a twisted group algebra in a linear abelian monoidal category we obtain a graded generalization of the Schur Lemma for the category of induced A-modules. We further show that if the monoidal category is braided and A is commutative up to a bicharacter of the grading group, then the category of induced A-modules can be endowed with a graded-monoidal st…

More ghost modules I
Kiyoshi Igusa
https://arxiv.org/abs/2506.12904 https://arxiv.org/pdf/2506.12904…

More ghost modules I
Ghost modules were introduced in [I3] without definitions or proofs. We also introduced stability diagrams or "relative pictures" for torsion classes and torsion-free classes for representations of Dynkin quivers. Modules which were not in the chosen class reappeared as "ghosts", in fact one missing module produced two ghosts. In this short paper, we give a precise definition of ghost modules. We give several examples and prove basis properties of ghosts and pictures for torsion and torsion-fre…

State constrained stochastic optimal control of a PV system with battery storage via Fokker-Planck and Hamilton-Jacobi-Bellman equations
Alfredo Berm\'udez, Iago Pad\'in
https://arxiv.org/abs/2506.11765

State constrained stochastic optimal control of a PV system with battery storage via Fokker-Planck and Hamilton-Jacobi-Bellman equations
With the growing global emphasis on sustainability and the implementation of contemporary environmental policies, the penetration of renewable energy sources has significantly increased --primarily due to their inexhaustible nature. In this context, integrating photovoltaic (PV) modules with energy storage systems offers a means to mitigate the inherent variability of solar energy. This paper proposes an optimal methodology for power management and market bidding strategies tailored to PV power…

Mapping Neural Theories of Consciousness onto the Common Model of Cognition
Paul S. Rosenbloom, John E. Laird, Christian Lebiere, Andrea Stocco
https://arxiv.org/abs/2506.12224

Mapping Neural Theories of Consciousness onto the Common Model of Cognition
A beginning is made at mapping four neural theories of consciousness onto the Common Model of Cognition. This highlights how the four jointly depend on recurrent local modules plus a cognitive cycle operating on a global working memory with complex states, and reveals how an existing integrative view of consciousness from a neural perspective aligns with the Com-mon Model.

This https://arxiv.org/abs/2505.15707 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

When are syzygies of the residue field self-dual?
Finitely generated reflexive modules over commutative Noetherian rings form a key component of Auslander and Bridger's stable module theory and are likewise essential in the study of Cohen--Macaulay representations. Recently, H. Dao characterized Arf local rings as exactly those one-dimensional Cohen--Macaulay local rings over which every finitely generated reflexive module is self-dual, and raised the general question of characterizing rings over which every finitely generated reflexive module…

This https://arxiv.org/abs/2503.10090 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

On characteristic cycles of irregular holonomic D-modules
Based on the recent progress in the irregular Riemann-Hilbert correspondence for holonomic D-modules, we show that the characteristic cycles of some standard irregular holonomic D-modules can be expressed as in the classical theorem of Ginsburg. For this purpose, we first prove a formula for the enhanced solution complexes of holonomic D-modules having a quasi-normal form, via which, to our surprise, their solution complexes can be calculated more easily by topological methods. In the formulati…

Can Pretrained Vision-Language Embeddings Alone Guide Robot Navigation?
Nitesh Subedi, Adam Haroon, Shreyan Ganguly, Samuel T. K. Tetteh, Prajwal Koirala, Cody Fleming, Soumik Sarkar
https://arxiv.org/abs/2506.14507

Can Pretrained Vision-Language Embeddings Alone Guide Robot Navigation?
Foundation models have revolutionized robotics by providing rich semantic representations without task-specific training. While many approaches integrate pretrained vision-language models (VLMs) with specialized navigation architectures, the fundamental question remains: can these pretrained embeddings alone successfully guide navigation without additional fine-tuning or specialized modules? We present a minimalist framework that decouples this question by training a behavior cloning policy dir…

Differential Space of Feynman Integrals: Annihilators and $\mathcal{D}$-module
Vsevolod Chestnov, Wojciech Flieger, Pierpaolo Mastrolia, Saiei-Jaeyeong Matsubara-Heo, Nobuki Takayama, William J. Torres Bobadilla
https://arxiv.org/abs/2506.10456

Differential Space of Feynman Integrals: Annihilators and $\mathcal{D}$-module
We present a novel algorithm for constructing differential operators with respect to external variables that annihilate Feynman-like integrals and give rise to the associated $\mathcal{D}$-modules, based on Griffiths-Dwork reduction. By leveraging the Macaulay matrix method, we derive corresponding relations among partial differential operators, including systems of Pfaffian equations and Picard-Fuchs operators. Our computational approach is applicable to twisted period integrals in projective …

This https://arxiv.org/abs/2505.15707 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

When are syzygies of the residue field self-dual?
Finitely generated reflexive modules over commutative Noetherian rings form a key component of Auslander and Bridger's stable module theory and are likewise essential in the study of Cohen--Macaulay representations. Recently, H. Dao characterized Arf local rings as exactly those one-dimensional Cohen--Macaulay local rings over which every finitely generated reflexive module is self-dual, and raised the general question of characterizing rings over which every finitely generated reflexive module…

Trace duality and additive complementary pairs of additive cyclic codes over finite chain rings
Sanjit Bhowmick, Kuntal Deka, Alexandre Fotue Tabue, Edgar Mart\'inez-Moro
https://arxiv.org/abs/2506.10381

Trace duality and additive complementary pairs of additive cyclic codes over finite chain rings
This paper investigates the algebraic structure of additive complementary pairs of cyclic codes over a finite commutative ring. We demonstrate that for every additive complementary pair of additive cyclic codes, both constituent codes are free modules. Moreover, we present a necessary and sufficient condition for a pair of additive cyclic codes over a finite commutative ring to form an additive complementary pair. Finally, we construct a complementary pair of additive cyclic codes over a finite…

Reinforcement Learning Optimization for Large-Scale Learning: An Efficient and User-Friendly Scaling Library
Weixun Wang, Shaopan Xiong, Gengru Chen, Wei Gao, Sheng Guo, Yancheng He, Ju Huang, Jiaheng Liu, Zhendong Li, Xiaoyang Li, Zichen Liu, Haizhou Zhao, Dakai An, Lunxi Cao, Qiyang Cao, Wanxi Deng, Feilei Du, Yiliang Gu, Jiahe Li, Xiang Li, Mingjie Liu, Yijia Luo, Zihe Liu, Yadao Wang, Pei Wang, Tianyuan Wu, Yanan Wu, Yuheng Zhao, Shuaibing Zhao, Jin Yang, Siran Yang, Yingshui Tan, …

Reinforcement Learning Optimization for Large-Scale Learning: An Efficient and User-Friendly Scaling Library
We introduce ROLL, an efficient, scalable, and user-friendly library designed for Reinforcement Learning Optimization for Large-scale Learning. ROLL caters to three primary user groups: tech pioneers aiming for cost-effective, fault-tolerant large-scale training, developers requiring flexible control over training workflows, and researchers seeking agile experimentation. ROLL is built upon several key modules to serve these user groups effectively. First, a single-controller architecture combin…

Has someone got a working setup of a RaspberryPi and a RaspberryPi Camera Module V2.1? I've got two of these cameras brand new and they don't seem to be recognised. A different camera module is recognised. I can't believe both original modules are broken.
#RaspberryPi

Does someone know if it is possible to use the devenv services with flake-parts?
I would like to only consume the nix modules and use them with flake-parts.
I know that services-flake exists but I want specifically the devenv services.
#nix #nixos

New simple modules for the $W$-algebra $W(2,2)$
Hongjia Chen, Dashu Xu
https://arxiv.org/abs/2506.08794 https://arxiv.org/pdf/2506.08…

New simple modules for the $W$-algebra $W(2,2)$
In this paper, we construct a novel class of simple modules for the $W$-algebra $W(2,2)$. Our approach involves taking tensor products of finitely many non-weight simple modules $Ω(λ,α,h)$ with an arbitrary simple restricted module. We provide a necessary and sufficient condition for these modules to be simple, and subsequently determine their isomorphism classes. Through a comparative analysis with other known simple modules in the literature, we establish that these constructed modules are…

OneSug: The Unified End-to-End Generative Framework for E-commerce Query Suggestion
Xian Guo, Ben Chen, Siyuan Wang, Ying Yang, Chenyi Lei, Yuqing Ding, Han Li
https://arxiv.org/abs/2506.06913

OneSug: The Unified End-to-End Generative Framework for E-commerce Query Suggestion
Query suggestion plays a crucial role in enhancing user experience in e-commerce search systems by providing relevant query recommendations that align with users' initial input. This module helps users navigate towards personalized preference needs and reduces typing effort, thereby improving search experience. Traditional query suggestion modules usually adopt multi-stage cascading architectures, for making a well trade-off between system response time and business conversion. But they often s…

Acyclic complexes and regular rings
Lars Winther Christensen, Sergio Estrada, Peder Thompson
https://arxiv.org/abs/2506.09831 https://

Acyclic complexes and regular rings
A 2009 paper by Iacob and Iyengar characterizes noetherian regular rings in terms of properties of complexes of projective modules, flat modules, and injective modules. We show that the relevant properties of such complexes are equivalent without reference to regularity of the ring and that they characterize coherent regular rings and von Neumann regular rings.

Deep Learning Enhanced Multi-Day Turnover Quantitative Trading Algorithm for Chinese A-Share Market
Yimin Du
https://arxiv.org/abs/2506.06356 https://

Deep Learning Enhanced Multi-Day Turnover Quantitative Trading Algorithm for Chinese A-Share Market
This paper presents a sophisticated multi-day turnover quantitative trading algorithm that integrates advanced deep learning techniques with comprehensive cross-sectional stock prediction for the Chinese A-share market. Our framework combines five interconnected modules: initial stock selection through deep cross-sectional prediction networks, opening signal distribution analysis using mixture models for arbitrage identification, market capitalization and liquidity-based dynamic position sizing…

This https://arxiv.org/abs/2207.12969 has been replaced.
link: https://scholar.google.com/scholar?q=a

Module Categories of the Generic Virasoro VOA and Quantum Groups
In this paper, we prove the equivalence between two ribbon tensor categories. On the one hand, we consider the category of modules of the Virasoro vertex operator algebra with generic central charge (generic Virasoro VOA) generated by those simple modules lying in the first row of the Kac table. On the other hand, we take the category of finite-dimensional type I modules of the quantum group $\mathcal{U}_q (\mathfrak{sl}_{2})$ with $q$ determined by the central charge. This is a continuation of…

Homological invariant properties under cleft extensions
Li Liang, Yajun Ma, Gang Yang
https://arxiv.org/abs/2506.02691 https://arxiv.…

Homological invariant properties under cleft extensions
We study the behavior of the Gorenstein weak global dimension and Gorenstein flat-cotorsion global dimension under a cleft extension of rings; we prove that under some mild conditons the finiteness of the Gorenstein weak global dimension and that of the Gorenstein flat-cotorsion global dimension are both invariant. Moreover, we compare the relative singularity categories with respect to flat-cotorsion modules under a cleft extension of rings. Some applications to θ-extensions and Morita contex…

NAVER LABS Europe Submission to the Instruction-following Track
Beomseok Lee, Marcely Zanon Boito, Laurent Besacier, Ioan Calapodescu
https://arxiv.org/abs/2506.01808

NAVER LABS Europe Submission to the Instruction-following Track
In this paper we describe NAVER LABS Europe submission to the instruction-following speech processing short track at IWSLT 2025. We participate in the constrained settings, developing systems that can simultaneously perform ASR, ST, and SQA tasks from English speech input into the following target languages: Chinese, Italian, and German. Our solution leverages two pretrained modules: (1) a speech-to-LLM embedding projector trained using representations from the SeamlessM4T-v2-large speech encod…

Sigh, the client wants to add more items to the release for next week and they don't even have it tested. This time around I am putting a flag on each and every program they want to add so when (not if) they pull it Friday afternoon a quick search & delete will nuke those modules. I am not going to be popular in a bit when I do the pre-release walkthrough for the release schedule in a few minutes.

Modules and generalizations of Joyce vertex algebras
Chenjing Bu
https://arxiv.org/abs/2506.00289 https://arxiv.org/pdf/2506.00289

Modules and generalizations of Joyce vertex algebras
Joyce vertex algebras are vertex algebra structures defined on the homology of certain $\mathbb{C}$-linear moduli stacks, and are used to express wall-crossing formulae for Joyce's homological enumerative invariants. This paper studies the generalization of this construction to settings that come from non-linear enumerative problems. In the special case of orthosymplectic enumerative geometry, we obtain twisted modules for Joyce vertex algebras. We expect that our construction will be useful …

Simple restricted modules of non-zero level over a deformed Heisenberg-Virasoro algebra
Shun Liu, Dashu Xu
https://arxiv.org/abs/2506.10830 https://…

Simple restricted modules of non-zero level over a deformed Heisenberg-Virasoro algebra
We study representations of a deformed Heisenberg-Virasoro algebra that does not admit a triangular decomposition. Despite this, its $\mathbb{Z}$-gradation allows the classification of simple restricted modules. We show that all such modules of non-zero level arise via induction from simple modules of finite-dimensional solvable Lie algebras.

So it looks like most if not all dual row SFP /SFP28/zSFP cages are integrated connector cage modules that are PTH, even for the data pins.
This feels like it would be stub city... obviously I'd want to do the high speed signals on the back layer but even so I don't like the idea of 25G on PTH pins.
Thoughts? Anyone have experience with this?

A torsion theoretic interpretation for sheaves of modules and Grothendieck topologies on directed categories
Zhenxing Di, Liping Li, Li Liang
https://arxiv.org/abs/2506.08685

A torsion theoretic interpretation for sheaves of modules and Grothendieck topologies on directed categories
We prove that every Grothendieck topology induces a hereditary torsion pair in the category of presheaves of modules on a ringed site, and obtain a homological characterization of sheaves of modules: a presheaf of modules is a sheaf of modules if and only if it is saturated with respect to torsion presheaves, or equivalently, it is right perpendicular to torsion presheaves in the sense of Geigle and Lenzing. We also study Grothendieck topologies on directed categories $\mathscr{C}$, and show th…

Autonomous Vehicle Lateral Control Using Deep Reinforcement Learning with MPC-PID Demonstration
Chengdong Wu, Sven Kirchner, Nils Purschke, Alois C. Knoll
https://arxiv.org/abs/2506.04040

Autonomous Vehicle Lateral Control Using Deep Reinforcement Learning with MPC-PID Demonstration
The controller is one of the most important modules in the autonomous driving pipeline, ensuring the vehicle reaches its desired position. In this work, a reinforcement learning based lateral control approach, despite the imperfections in the vehicle models due to measurement errors and simplifications, is presented. Our approach ensures comfortable, efficient, and robust control performance considering the interface between controlling and other modules. The controller consists of the conventi…

This https://arxiv.org/abs/2505.10528 has been replaced.
initial toot: https://mastoxiv.page/@ar…

Pixel column issue in the ATLAS Inner Tracker modules
Pixel modules are currently being built for the ATLAS ITk Pixel detector upgrade. During the preproduction phase, recurring chip malfunctioning was observed during electrical testing. It was possible to bypass this issue by disabling some pixel core columns in the ITkPix readout chip. Therefore the issue is called "core column issue" which is a direct disqualifier for a pixel module. A concerning number of cases has been observed in pixel modules with ITkPix v1.1 as well as v2 chips which signi…

This https://arxiv.org/abs/2312.04666 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

The algebra $\mathbb{Z}_\ell[[\mathbb{Z}_p^d]]$ and applications to Iwasawa theory
Let $\ell$ and $p$ be distinct primes, and let $\G$ be an abelian pro-$p$-group. We study the structure of the algebra $Ł:=\Z_\ell[[\G]]$ and of $Ł$-modules. The algebra $Ł$ turns out to be a direct product of copies of ring of integers of cyclotomic extensions of $\Q_\ell$ and this induces a similar decomposition for a family of $Ł$-modules. Inside this family we define Sinnott modules and provide characteristic ideals and formulas à la Iwasawa for orders and ranks of their quotients. Whe…

This https://arxiv.org/abs/2408.09568 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csSE_…

MergeRepair: An Exploratory Study on Merging Task-Specific Adapters in Code LLMs for Automated Program Repair
Large Language Models (LLMs) have shown high capabilities in several software development-related tasks such as program repair, documentation, code refactoring, debugging, and testing. However, training these models requires massive amount of data and significant computational resources. Adapters are specialized, small modules designed for parameter efficient fine-tuning of LLMs for specific tasks, domains, or applications without requiring extensive retraining of the entire model. These adapte…

An isometry theorem for persistent homology of circle-valued functions
Nathan Broomhead, Mariam Pirashvili
https://arxiv.org/abs/2506.02999 https://…

An isometry theorem for persistent homology of circle-valued functions
This paper explores persistence modules for circle-valued functions, presenting a new extension of the interleaving and bottleneck distances in this setting. We propose a natural generalisation of barcodes in terms of arcs on a geometric model associated to the derived category of quiver representations. The main result is an isometry theorem that establishes an equivalence between the interleaving distance and the bottleneck distance for circle-valued persistence modules.

Irreducible modules over the universal central extension of the planar Galilean conformal algebra
Dongfang Gao
https://arxiv.org/abs/2506.10196 https://

Irreducible modules over the universal central extension of the planar Galilean conformal algebra
In this paper, we study the representation theory of the universal central extension $\mathcal{G}$ of the infinite-dimensional Galilean conformal algebra, introduced by Bagchi-Gopakumar, in $(2+1)$ dimensional space-time, which was named the planar Galilean conformal algebra by Aizawa. More precisely, we construct a family of Whittaker modules $W_{ψ_{m,n}}$ over $\mathcal{G}$ while the necessary and sufficient conditions for these modules to be irreducible are given when $m\in\mathbb{Z}_+, n\i…

Replaced article(s) found for math.OA. https://arxiv.org/list/math.OA/new/
[1/1]:
Linear Deformations of Heisenberg Modules and Gabor Frames
https…

Existence of balanced dualizing dg-modules
Michael K. Brown, Andrew J. Soto Levins, Prashanth Sridhar
https://arxiv.org/abs/2506.02398 https://

Existence of balanced dualizing dg-modules
We describe cohomological conditions that are necessary and sufficient for the existence of balanced dualizing dg-modules, generalizing a theorem of Van den Bergh for balanced dualizing complexes over graded algebras. As a consequence, we show that a dg-algebra satisfying certain finiteness conditions admits a balanced dualizing dg-module if and only if its zeroth cohomology algebra admits a balanced dualizing complex. Additionally, we obtain a host of new examples of dg-algebras whose associat…

This https://arxiv.org/abs/2410.03483 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csRO_…

A Versatile Neural Network Configuration Space Planning and Control Strategy for Modular Soft Robot Arms
Modular soft robot arms (MSRAs) are composed of multiple modules connected in a sequence, and they can bend at different angles in various directions. This capability allows MSRAs to perform more intricate tasks than single-module robots. However, the modular structure also induces challenges in accurate planning and control. Nonlinearity and hysteresis complicate the physical model, while the modular structure and increased DOFs further lead to cumulative errors along the sequence. To address …

This https://arxiv.org/abs/2504.19383 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Filtrations of D-modules along semi-invariant functions
Given a smooth algebraic variety X with an action of a connected reductive linear algebraic group G, and an equivariant D-module M, we study the G-decompositions of the associated V-, Hodge, and weight filtrations. If M is the localization of a D-module S underlying a mixed twistor D-module (e.g. when S is simple) along a semi-invariant function, we determine the weight level of any element in an irreducible isotypic component of M in terms of multiplicities of roots of b-functions. If S unde…

BESA: Boosting Encoder Stealing Attack with Perturbation Recovery
Xuhao Ren, Haotian Liang, Yajie Wang, Chuan Zhang, Zehui Xiong, Liehuang Zhu
https://arxiv.org/abs/2506.04556

BESA: Boosting Encoder Stealing Attack with Perturbation Recovery
To boost the encoder stealing attack under the perturbation-based defense that hinders the attack performance, we propose a boosting encoder stealing attack with perturbation recovery named BESA. It aims to overcome perturbation-based defenses. The core of BESA consists of two modules: perturbation detection and perturbation recovery, which can be combined with canonical encoder stealing attacks. The perturbation detection module utilizes the feature vectors obtained from the target encoder to …

Astra: Toward General-Purpose Mobile Robots via Hierarchical Multimodal Learning
Sheng Chen, Peiyu He, Jiaxin Hu, Ziyang Liu, Yansheng Wang, Tao Xu, Chi Zhang, Chongchong Zhang, Chao An, Shiyu Cai, Duo Cao, Kangping Chen, Shuai Chu, Tianwei Chu, Mingdi Dan, Min Du, Weiwei Fang, Pengyou Fu, Junkai Hu, Xiaowei Jiang, Zhaodi Jiang, Fuxuan Li, Jun Li, Minghui Li, Mingyao Li, Yanchang Li, Zhibin Li, Guangming Liu, Kairui Liu, Lihao Liu, Weizhi Liu, Xiaoshun Liu, Yufei Liu, Yunfei Liu, Qiang…

Astra: Toward General-Purpose Mobile Robots via Hierarchical Multimodal Learning
Modern robot navigation systems encounter difficulties in diverse and complex indoor environments. Traditional approaches rely on multiple modules with small models or rule-based systems and thus lack adaptability to new environments. To address this, we developed Astra, a comprehensive dual-model architecture, Astra-Global and Astra-Local, for mobile robot navigation. Astra-Global, a multimodal LLM, processes vision and language inputs to perform self and goal localization using a hybrid topol…

On lengths of modules over certain Artinian complete intersections
Tony J. Puthenpurakal
https://arxiv.org/abs/2506.10368 https://arx…

On lengths of modules over certain Artinian complete intersections
Let $(Q,\mathfrak{n})$ be a regular local ring of dimension $c \geq 2$ with algebraically closed residue field $k = Q/\mathfrak{n}$. Let $f_1, f_2, \ldots f_{c-1}, g$ be a regular sequence in $Q$ such that $ f_i \in \mathfrak{n}^2$ for all $i$ and $g \in \mathfrak{n}$. Set $A = Q/(f_1,\ldots, f_{c-1}, g^r)$ with $r \geq 2$. Notice $A$ is an Artinian complete intersection of codimension $c$. We show that there exists $α_A \in \mathbb{P}^{c-1}(k)$ such that there exists integer $m_A \geq 2…

This https://arxiv.org/abs/2505.12156 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Quiver Schemes for Nongeneric Stability and Cornering
We use the Le Bruyn--Procesi theorem to prove several results on quiver schemes for nongeneric stability conditions: We show that the stability-zero finite-type Nakajima quiver schemes are reduced points and give an example of a closely related nonreduced quiver scheme. In broader generality, we prove that adding modules supported on stability-zero vertices induces closed embeddings of quiver schemes, and show how in many cases the quiver scheme associated with the cornered algebra defines a li…

This https://arxiv.org/abs/2403.15001 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Torsion pairs in categories of modules on ringed finite sites
Let $\mathcal{C}$ be a small category. In this paper, we mainly study the category of modules $\mathfrak{M}\mbox{od-}\mathfrak{R}$ on ringed sites $(\mathbf{C},\mathfrak{R})$. We firstly reprove the Theorem A of the paper (M. Wu and F. Xu. Skew category algebras and modules on ringed finite sites. J. A. 631, 2023), then we characterize $\mathfrak{M}\mbox{od-}\mathfrak{R}$ in terms of the torsion modules on $Gr(\mathfrak{R})$, where $Gr(\mathfrak{R})$ is the linear Grothendieck construction of $…

Cohen-Macaulay modules of covariants for cyclic $p$-groups
Jonathan Elmer
https://arxiv.org/abs/2506.03677 https://arxiv.org/pdf/2506…

Cohen-Macaulay modules of covariants for cyclic $p$-groups
Let $G$ be a a finite group, $k$ a field of characteristic dividing $|G|$ and and $V,W$ $kG$-modules. Broer and Chuai showed that if $\mathrm{codim}(V^G) \leq 2$ then the module of covariants $k[V,W]^G = (k[V]\otimes W)^G$ is a Cohen-Macaulay module, hence free over a homogeneous system of parameters for the invariant ring $k[V]^G$. In the present article we prove a general result which allows us to determine whether a set of elements of a free $A$-module is a generating set, for any …

On Hodge--Witt cohomology of Drinfeld's upper half space over a finite field
Mattia Tiso
https://arxiv.org/abs/2506.06246 https://

On Hodge--Witt cohomology of Drinfeld's upper half space over a finite field
In this dissertation we study the Hodge-Witt cohomology of the $d$-dimensional Drinfeld's upper half space $\mathcal{X} \subset \mathbb{P}_k^d$ over a finite field $k$. We consider the natural action of the $k$-rational points $G$ of the linear group $\mathrm{GL}_{d+1}$ on $H^0(\mathcal{X},\mathrm{W}_nΩ_{\mathbb{P}_k^d}^i)$, making them natural $\mathrm{W}_n(k)[G]$-modules. To study these representations, we introduce a theory of differential operators over the Witt vectors for smooth $k$-sche…

This https://arxiv.org/abs/2407.04912 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

The stable category of Gorenstein-projective modules over a monomial algebra
Let $Λ$ be an arbitrary monomial algebra. We investigate the stable category $\underline{\operatorname{Gproj}}^{\mathbb{Z}}Λ$ of graded Gorenstein-projective $Λ$-modules and the orbit category $\underline{\operatorname{Gproj}}^{\mathbb{Z}} Λ/(1)$ induced by $\underline{\operatorname{Gproj}}^{\mathbb{Z}}Λ$ and the degree shift functor $(1)$. We prove that $\underline{\operatorname{Gproj}}^{\mathbb{Z}}Λ$ is triangle equivalent to the bounded derived category of a path algebra of Dynkin type…

This https://arxiv.org/abs/2501.06696 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

nil-$M$-Noetherian and nil-$M$-Artinian modules
Let R be a commutative ring with identity and M be an R- module. The aim of this paper is to introduce and investigate the notions of nil-M-Noetherian and nil-M-Artinian modules as generalizations of Noetherian and Artinian modules. Also, in this regard we introduce nil versions of some algebraic concepts.

A generalization of Carter-Payne homomorphisms
Mart\'in Forsberg Conde
https://arxiv.org/abs/2506.05800 https://arxiv.org/pdf/250…

A generalization of Carter-Payne homomorphisms
We construct graded homomorphisms between Specht modules of quiver Hecke algebras of type A that differ by an ``$e$-small'' partition-shaped removable set of nodes by expanding on methods by Lyle and Mathas. Our main result constitutes a full generalization of the classical result by Carter and Payne for Specht modules of the symmetric group.

This https://arxiv.org/abs/2505.07739 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Torsion modules and differential operators in infinitely many variables
This paper grew out of the author's work on arXiv:2504.18460. Differential operators in the sense of Grothendieck acting between modules over a commutative ring can be interpreted as torsion elements in the bimodule of all operators with respect to the diagonal ideal in the tensor square of the ring. Various notions of torsion modules for an infinitely generated ideal in a commutative ring lead to various notions of differential operators. We discuss differential operators of transfinite orders…

This https://arxiv.org/abs/2301.01105 has been replaced.
link: https://scholar.google.com/scholar?q=a

Modules of finite injective dimension
Motivated by Bass' conjecture, we study finitely generated modules of finite injective dimension and the additional constraints they impose on the ambient ring.

On Divisor Topology of Modules over Domains
\"Unsal Tekir, U\u{g}ur Yi\u{g}it, Mesut Bu\u{g}day, Suat Ko\c{c}
https://arxiv.org/abs/2506.01179 https:/…

On Divisor Topology of Modules over Domains
Let $M\ $be a module over a domain $R$ and $M^{\#}=\{0\neq m\in M:Rm\neq M\}$ be the set of all nonzero nongenerators of $M.\ $Consider following equivalence relation $\sim$ on $M^{\#}$ as follows: for every $m,n\in M^{\#},\ m\sim n$ if and only if $Rm=Rn.\ $Let $EC(M^{\#})$ be the set of all equivalence classes of $M^{\#}$ with respect to $\sim$. In this paper, we construct a topology on $EC(M^{\#})$ which is called divisor topology of $M\ $and denoted by $D(M).$ Actually, $D(M)$ is extension …

This https://arxiv.org/abs/2411.11594 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Interval Multiplicities of Persistence Modules
For any persistence module $M$ over a finite poset $\mathbf{P}$, and any interval $I$ in $\mathbf{P}$, we give a formula of the multiplicity $d_M(V_I)$ of the interval module $V_I$ in the indecomposable decomposition of $M$ in terms of the ranks of matrices consisting of structure linear maps of the module $M$, which gives a generalization of the corresponding formula for 1-dimensional persistence modules. This makes it possible to compute the maximal interval-decomposable direct summand of $M$…

Cohomological support varieties under local homomorphisms
Ryan Watson
https://arxiv.org/abs/2506.10757 https://arxiv.org/pdf/2506.107…

Cohomological support varieties under local homomorphisms
Given a bounded complex of finitely generated modules $M$ over a commutative noetherian local ring $R$, one assigns to it a variety, $\mathcal V_R(M)$, called the cohomological support variety of $M$ over $R$. The variety $\mathcal V_R(M)$ holds important homological information about the complex and the ring. In this paper, we study the behavior of cohomological support varieties under restriction of scalars along local maps. In the case where the rings involved are complete intersections and …

This https://arxiv.org/abs/2312.01613 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Binomial Edge Ideals of Complements of Graphs of Girth at Least 5
We calculate the local cohomology modules of the binomial edge ideals of the complements of graphs of girth at least 5 using the tools introduced by Àlvarez Montaner in arXiv:1901.08645. We then use this calculation to compute the depth, dimension, and regularity of these binomial edge ideals.

This https://arxiv.org/abs/2409.15134 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

SCMAlgebras: a Macaulay2 package to check sequential Cohen-Macaulayness
We introduce the Macaulay2 package SCMAlgebras. It provides functions for computing the modules of deficiency and the filter ideals, in order to check whether a module or an ideal is sequentially Cohen-Macaulay. After the basic algebraic notions and results are recalled, the main features of the package are described through examples

This https://arxiv.org/abs/2408.12206 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Upper bounds for dimensions of singularity categories and their annihilators
Let $R$ be a commutative noetherian ring. Denote by $\operatorname{mod} R$ the category of finitely generated $R$-modules and by $\operatorname{D^b}(R)$ the bounded derived category of $\operatorname{mod} R$. In this paper, we first investigate localizations and annihilators of Verdier quotients of $\operatorname{D^b}(R)$. After that, we explore upper bounds for the dimension of the singularity category of $R$ and its (strong) generators. We extend a theorem of Liu to the case where $R$ is neit…

On a Relation between Euler characteristics of \MakeLowercase{de} Rham cohomology and Koszul cohomology of graded local cohomology modules
Tony J. Puthenpurakal, Rakesh B. T. Reddy
https://arxiv.org/abs/2505.17597

On a Relation between Euler characteristics of \MakeLowercase{de} Rham cohomology and Koszul cohomology of graded local cohomology modules
Let $K$ be a field of characteristic zero. Let $R = K[X_0, X_1,\ldots,X_n]$ be standard graded. Let $A_{n+1}(K)$ be the $(n + 1)^{th}$ Weyl algebra over $K$. Let $I$ be a homogeneous ideal of $R$ and let $M = H^i_I(R)$ for some $i \geq 0$. By a result of Lyubeznik, $M$ is a graded holonomic $A_{n +1}(K)$-module for each $i \geq 0$. Let $χ^c(\mathbf{\partial}, M)$ ($χ^c(\mathbf{X}, M)$) be the Euler characteristics of de Rham cohomology (resp. Koszul cohomology) of $M$. We prove $χ^c(\mathb…

On a Relation between Euler characteristics of \MakeLowercase{de} Rham cohomology and Koszul cohomology of graded local cohomology modules
Tony J. Puthenpurakal, Rakesh B. T. Reddy
https://arxiv.org/abs/2505.17597

On a Relation between Euler characteristics of \MakeLowercase{de} Rham cohomology and Koszul cohomology of graded local cohomology modules
Let $K$ be a field of characteristic zero. Let $R = K[X_0, X_1,\ldots,X_n]$ be standard graded. Let $A_{n+1}(K)$ be the $(n + 1)^{th}$ Weyl algebra over $K$. Let $I$ be a homogeneous ideal of $R$ and let $M = H^i_I(R)$ for some $i \geq 0$. By a result of Lyubeznik, $M$ is a graded holonomic $A_{n +1}(K)$-module for each $i \geq 0$. Let $χ^c(\mathbf{\partial}, M)$ ($χ^c(\mathbf{X}, M)$) be the Euler characteristics of de Rham cohomology (resp. Koszul cohomology) of $M$. We prove $χ^c(\mathb…