Tootfinder

Irreducibility of some nested Quot schemes
Parvez Rasul, Ronnie Sebastian
https://arxiv.org/abs/2404.05532 https://arxiv.org/pdf/2404…

Irreducibility of some nested Quot schemes
Let $C$ be a smooth projective curve over $\mathbb C$ of genus $g\geqslant 1$. Let $E$ be a vector bundle on $C$ of rank $r$ and degree $e$. Given integers $k_1,k_2,d_1,d_2$ such that $r>k_1>k_2>0$, let $\mathcal Q^{k_1,k_2}_{d_1,d_2}(E)$ denote the nested Quot scheme which parametrizes pair of quotients $[E \twoheadrightarrow F_1 \twoheadrightarrow F_2]$ such that $F_i$ has rank $k_i$ and degree $d_i$. We show that these nested Quot schemes are integral, local complete intersection schemes whe…

Techbros will keep attempting to invent ways for people to exchange information without relying on a network of human trust, and again and again, human trust will prove to be an essential part of a functioning system.
Systems that mainly attempt to replace human trust always work great until they don’t, then you fall off a lonely cliff from which no one can help you out.
Never bet against a network built on human trust and a shared sense of personal reputation, because that’s whe…

This https://arxiv.org/abs/2310.02326 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_…

Mass bias in clusters of galaxies: Projection effects on the case study of Virgo replica
When measuring the observed pressure, density or temperature profiles of the intracluster gas, and hence the mass of clusters of galaxies, projection effects or departures from the spherical symmetry hypothesis may induce biases. In order to estimate how strongly the cluster observed properties depend on the direction of observation, we use a constrained hydrodynamical simulation of Virgo cluster that replicates the actual cluster of galaxies. In this case study, we analyse Virgo properties whe…

Stephon Gilmore needs to be in a Dallas Cowboys uniform in 2024 https://www.yardbarker.com/nfl/articles/stephon_gilmore_needs_to_be_in_a_dallas_cowboys_uniform_in_2024/s1_17100_40320105

Stephon Gilmore needs to be in a Dallas Cowboys uniform in 2024
As we sit here on May 3rd, Stephon Gilmore is still currently a free agent. Let's just get it out of the way now, Ezekiel Elliott's change in number from 21 to 15 reportedly has nothing to do with a return of Gilmore, at least for now. Earlier this offseason, the Cowboys resigned Jourdan Lewis to keep the cornerback room beefed up a bit. Still, in a passing league, a former Defensive Player of The Year is a free agent, so why not bring him back? If the Cowboys did not have Gilmore last year whe…

Raiders HC Antonio Pierce keeps it real when asked about what will be missed from Amik Robertson https://www.yardbarker.com/nfl/articles/raiders_hc_antonio_pierce_keeps_it_real_whe…

Raiders HC Antonio Pierce keeps it real when asked about what will be missed from Amik Robertson
The Las Vegas Raiders took a real hit this offseason, even though they were busy making the splashiest move of signing defensive tackle Christian Wilkins. With every player you sign, you lose some, too, and the Raiders lost a great player to an NFC foe. When 2023 started, the Raiders weren't a great defensive team. In fact, they were very, very bad. When Josh McDaniels was fired, it freed up defensive coordinator Patrick Graham to coach the way he wanted to. The second half of the season saw th…

This https://arxiv.org/abs/2309.12309 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csHC_…

Rehearsal: Simulating Conflict to Teach Conflict Resolution
Interpersonal conflict is an uncomfortable but unavoidable fact of life. Navigating conflict successfully is a skill -- one that can be learned through deliberate practice -- but few have access to effective training or feedback. To expand this access, we introduce Rehearsal, a system that allows users to rehearse conflicts with a believable simulated interlocutor, explore counterfactual "what if?" scenarios to identify alternative conversational paths, and learn through feedback on how and whe…

2022 retro-link! https://smallcultfollowing.com/babysteps/blog/2022/04/17/coherence-and-crate-level-where-clauses/#coherence-and-crate-level-where-clauses - Coherence and crate-level whe…

The Trembling-Hand Problem for LTLf Planning
Pian Yu, Shufang Zhu, Giuseppe De Giacomo, Marta Kwiatkowska, Moshe Vardi
https://arxiv.org/abs/2404.16163 htt…

The Trembling-Hand Problem for LTLf Planning
Consider an agent acting to achieve its temporal goal, but with a "trembling hand". In this case, the agent may mistakenly instruct, with a certain (typically small) probability, actions that are not intended due to faults or imprecision in its action selection mechanism, thereby leading to possible goal failure. We study the trembling-hand problem in the context of reasoning about actions and planning for temporally extended goals expressed in Linear Temporal Logic on finite traces (LTLf), whe…

I've been baking (EXCELLENT!) bread for a while now and my entrepreneurial spirit is abuzz, and I'm ready to disrupt!
Here's the pitch:
Fresh bread is great but what if we took the boring part out of it? I'm envisioning a service (BaaS, if you will) that will bake your fresh bread for you and bring it to your door every day at the time you specify, for a low low price of $9.99/mo!
NOBODY THOUGHT ABOUT THIS!
I'm gonna call it "BREADR"! Whe…

Cowboys Declining QB Trey Lance’s Fifth-Year Option https://www.yardbarker.com/nfl/articles/cowboys_declining_qb_trey_lances_fifth_year_option/s1_17039_40312539

Cowboys Declining QB Trey Lance’s Fifth-Year Option
According to Todd Archer, the Cowboys are declining QB Trey Lance’s fifth-year option. Picking up the option would have cost Dallas $22.4 million fully guaranteed for the 2025 season, so this isn’t a big surprise. The Cowboys have yet to sign QB Dak Prescott to a long-term extension and it appears as though he could play out the season and possibly test free agency next, assuming extension talks don’t pick up during training camp. Dallas has spoken highly of Lance, but it remains to be se…

This https://arxiv.org/abs/2404.14937 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

The inversion number of dijoins and blow-up digraphs
For an oriented graph \(D\), the \emph{inversion} of \(X \subseteq V(D)\) in \(D\) is the digraph obtained from \(D\) by reversing the direction of all arcs with both ends in \(X\). The \emph{inversion number} of \(D\), denoted by \(\invd\), is the minimum number of inversions needed to transform \(D\) into an acyclic digraph. In this paper, we first show that \( \mathrm{inv} (\overrightarrow{C_3} \Rightarrow D)= \invd +1 \) for any oriented graph \(D\) with even inversion number \(\invd\), whe…

Minimal model program for algebraically integrable foliations on klt varieties
Jihao Liu, Fanjun Meng, Lingyao Xie
https://arxiv.org/abs/2404.01559 https:/…

Minimal model program for algebraically integrable foliations on klt varieties
We prove the contraction theorem and the existence of flips for algebraically integrable foliations on klt varieties which strengthen a result of Cascini and Spicer by removing the assumption on termination of flips. Thus we establish the minimal model program for algebraically integrable foliations on klt varieties unconditionally. As a consequence, for algebraically integrable foliations polarized with ample divisors, we prove the existence of minimal models and Mori fiber spaces either whe…

This https://arxiv.org/abs/2303.09265 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Characterizations of a Class of Planar Functions over Finite Fields
Planar functions, introduced by Dembowski and Ostrom, have attracted much attention in the last decade. As shown in this paper, we present a new class of planar functions of the form $\operatorname{Tr}(ax^{q+1})+\ell(x^2)$ on an extension of the finite field $\mathbb F_{q^n}/\mathbb F_q$. Specifically, we investigate those functions on $\mathbb F_{q^2}/\mathbb F_q$ and construct several typical kinds of planar functions. We also completely characterize them on $\mathbb F_{q^3}/\mathbb F_q$. Whe…

Bootstrap 3D Reconstructed Scenes from 3D Gaussian Splatting
Yifei Gao, Jie Ou, Lei Wang, Jun Cheng
https://arxiv.org/abs/2404.18669 https://

Bootstrap 3D Reconstructed Scenes from 3D Gaussian Splatting
Recent developments in neural rendering techniques have greatly enhanced the rendering of photo-realistic 3D scenes across both academic and commercial fields. The latest method, known as 3D Gaussian Splatting (3D-GS), has set new benchmarks for rendering quality and speed. Nevertheless, the limitations of 3D-GS become pronounced in synthesizing new viewpoints, especially for views that greatly deviate from those seen during training. Additionally, issues such as dilation and aliasing arise whe…

2022 retro-link! https://smallcultfollowing.com/babysteps/blog/2022/04/17/coherence-and-crate-level-where-clauses/#coherence-and-crate-level-where-clauses - Coherence and crate-level whe…

This https://arxiv.org/abs/2301.00038 has been replaced.
link: https://scholar.google.com/scholar?q=a

Chiral life on a slab
We study chiral algebra in the reduction of 3D $\mathcal{N} = 2 $ supersymmetric gauge theories on an interval with the $\mathcal{N}=(0,2)$ Dirichlet boundary conditions on both ends. By invoking the 3D ``twisted formalism'' and the 2D $βγ$-description we explicitly find the perturbative $\overline{Q}_+$ cohomology of the reduced theory. It is shown that the vertex algebras of boundary operators are enhanced by the line operators. A full non-perturbative result is found in the abelian case, w…

Minimal model program for algebraically integrable foliations on klt varieties
Jihao Liu, Fanjun Meng, Lingyao Xie
https://arxiv.org/abs/2404.01559 https:/…

Minimal model program for algebraically integrable foliations on klt varieties
We prove the contraction theorem and the existence of flips for algebraically integrable foliations on klt varieties which strengthen a result of Cascini and Spicer by removing the assumption on termination of flips. Thus we establish the minimal model program for algebraically integrable foliations on klt varieties unconditionally. As a consequence, for algebraically integrable foliations polarized with ample divisors, we prove the existence of minimal models and Mori fiber spaces either whe…

The Trembling-Hand Problem for LTLf Planning
Pian Yu, Shufang Zhu, Giuseppe De Giacomo, Marta Kwiatkowska, Moshe Vardi
https://arxiv.org/abs/2404.16163 htt…

The Trembling-Hand Problem for LTLf Planning
Consider an agent acting to achieve its temporal goal, but with a "trembling hand". In this case, the agent may mistakenly instruct, with a certain (typically small) probability, actions that are not intended due to faults or imprecision in its action selection mechanism, thereby leading to possible goal failure. We study the trembling-hand problem in the context of reasoning about actions and planning for temporally extended goals expressed in Linear Temporal Logic on finite traces (LTLf), whe…

Technosignatures longevity and Lindy's law
A. Balbi, C. Grimaldi
https://arxiv.org/abs/2405.00020 https://arxiv.org/pdf/2405.0002…

Technosignatures longevity and Lindy's law
The probability of detecting technosignatures (i.e. evidence of technological activity beyond Earth) increases with their longevity, or the time interval over which they manifest. Therefore, the assumed distribution of longevities has some bearing on the chances of success of technosignature searches, as well as on the inferred age of technosignatures following a first contact. Here, we investigate the possibility that the longevity of technosignatures conforms to the so-called Lindy's law, whe…

This https://arxiv.org/abs/2401.09291 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

The index with respect to a contravariantly finite subcategory
The index in triangulated categories plays a key role in the categorification of cluster algebras; specifically, it categorifies the notion of $g$-vectors. For an object $C$ in a triangulated category $\mathcal{C}$, the index of $C$ was originally defined as $[X_0] - [X_1]$ when $X_1 \to X_0 \to C \to ΣX_1$ is a triangle with the $X_i$ in a cluster tilting subcategory $\mathcal{X}$ of $\mathcal{C}$. Using the theory of extriangulated categories, the index was later generalised to the case wh…

On Naisargik Images of Varshamov-Tenengolts and Helberg Codes
Kalp Pandya, Devdeep Shetranjiwala, Naisargi Savaliya, Manish K. Gupta
https://arxiv.org/abs/2404.07670

On Naisargik Images of Varshamov-Tenengolts and Helberg Codes
The VT and Helberg codes, both in binary and non-binary forms, stand as elegant solutions for rectifying insertion and deletion errors. In this paper we consider the quaternary versions of these codes. It is well known that many optimal binary non-linear codes like Kerdock and Prepreta can be depicted as Gray images (isometry) of codes defined over $\mathbb{Z}_4$. Thus a natural question arises: Can we find similar maps between quaternary and binary spaces which gives interesting properties whe…

The inversion number of dijoins and blow-up digraphs
Haozhe Wang, Yuxuan Yang, Mei Lu
https://arxiv.org/abs/2404.14937 https://arxiv.…

The inversion number of dijoins and blow-up digraphs
For an oriented graph \(D\), the \emph{inversion} of \(X \subseteq V(D)\) in \(D\) is the digraph obtained from \(D\) by reversing the direction of all arcs with both ends in \(X\). The \emph{inversion number} of \(D\), denoted by \(\invd\), is the minimum number of inversions needed to transform \(D\) into an acyclic digraph. In this paper, we first show that \( \mathrm{inv} (\overrightarrow{C_3} \Rightarrow D)= \invd +1 \) for any oriented graph \(D\) with even inversion number \(\invd\), whe…

\lambda-Biharmonic hypersurfaces in the product space L^{m}\times \mathbb{R}
Chao Yang, Zhen Zhao
https://arxiv.org/abs/2403.10816 https://

λ-Biharmonic hypersurfaces in the product space L^{m}\times \mathbb{R}
In this paper, we study λ-biharmonic hypersurfaces in the product space L^{m}\times\mathbb{R}, where L^{m} is an Einstein space and \mathbb{R} is a real line. We prove that λ-biharmonic hypersurfaces with constant mean curvature in L^{m}\times\mathbb{R} are either minimal or vertical cylinders, and obtain some classification results for λ$-biharmonic hypersurfaces under various constraints. Furthermore, we investigate λ-biharmonic hypersurfaces in the product space L^{m}(c)\times\mathbb{R},…

Bootstrap 3D Reconstructed Scenes from 3D Gaussian Splatting
Yifei Gao, Jie Ou, Lei Wang, Jun Cheng
https://arxiv.org/abs/2404.18669 https://

Bootstrap 3D Reconstructed Scenes from 3D Gaussian Splatting
Recent developments in neural rendering techniques have greatly enhanced the rendering of photo-realistic 3D scenes across both academic and commercial fields. The latest method, known as 3D Gaussian Splatting (3D-GS), has set new benchmarks for rendering quality and speed. Nevertheless, the limitations of 3D-GS become pronounced in synthesizing new viewpoints, especially for views that greatly deviate from those seen during training. Additionally, issues such as dilation and aliasing arise whe…

This https://arxiv.org/abs/2208.11216 has been replaced.
link: https://scholar.google.com/scholar?q=a

The essential adjointness of pseudo-differential operators on $\mathbb{Z}^n$
In the setting of the lattice $\mathbb{Z}^n$ we consider a pseudo-differential operator $A$ whose symbol belongs to a class defined on $\mathbb{Z}^n\times \mathbb{T}^n$, where $\mathbb{T}^n$ is the $n$-torus. We realize $A$ as an operator acting between the discrete Sobolev spaces $H^{s_j}(\mathbb{Z}^n)$, $s_j\in\mathbb{R}$, $j=1,2$, with the discrete Schwartz space serving as the domain of $A$. We provide a sufficient condition for the essential adjointness of the pair $(A,\,A^{\dagger})$, whe…

This https://arxiv.org/abs/2310.09320 has been replaced.
link: https://scholar.google.com/scholar?q=a

An Improved Adaptive Algorithm for Competitive Group Testing
In many fault-detection problems, its objective lies in discerning all the defective items from a set of $n$ items with a binary characteristic by utilizing the minimum number of tests. Group testing (i.e., testing a subset of items with a single test) plays a pivotal role in classifying a large population of items. We study a central problem in the combinatorial group testing model for the situation where the number $d$ of defectives is unknown in advance. Let $M(d,n)=\min_αM_α(d|n)$, w…