Tootfinder

Polarization complete left invariant connections
Bal\'azs Forman, R\'obert Sz\H{o}ke
https://arxiv.org/abs/2609.15673 https://arxiv.org/pdf/2609.15673 https://arxiv.org/html/2609.15673
arXiv:2609.15673v1 Announce Type: new
Abstract: Let $(M,\nabla)$ be a real analytic Koszul manifold. An adapted complex structure (ac-structure) on a neighborhood $N$ of the zero section in $TM$ is a complex structure on $N$ such that the leaves of the Levi-Civita foliation are holomorphic curves. More generally, a complex polarization $P$ on $N$ is called an ac-polarization if the leaves of the Levi-Civita foliation are tangential to $P$. The bundle of (1,0) tangent vectors of an ac-structure is an ac-polarization.
The connection is called entire (resp. polarization complete or simply $\mathcal P$-complete) if the ac-structure (resp. the ac-polarization) exists on $TM$. Although on a small enough $N$ an ac-structure always exists, entire connections are rear and if a maximal domain of definition $N_{max}$ of an ac-structure exists (different from $TM$), $N_{max}$ is a complicated domain. On the other hand in many cases the associated ac-polarization can be extended to the whole $TM$. The main purpose of the paper is to gain better understanding of this phenomenon using a generalized version of the polar map.
As special cases we show that many of those metrics studied by Aslam-Burns-Irvine and Halverscheid-Iannuzzi although are not entire but are $\mathcal P$-complete.
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Integrable models of inflation beyond slow-roll
M. Bianchi, G. Dibitetto, J. F. Morales, V. Zevola
https://arxiv.org/abs/2608.06071 https://arxiv.org/pdf/2608.06071 https://arxiv.org/html/2608.06071
arXiv:2608.06071v1 Announce Type: new
Abstract: We propose a novel analytic approach to the study of multi-component FLRW cosmologies and their perturbations. The dynamics is triggered by a single scalar field with a scalar potential codifying the energy density and pressure of the multi-component fluid. This description unifies standard Big Bang cosmologies, models of inflation and dark energy under a unique framework. The key to integrability is to express the scalar potential in terms of the Hubble function $H(\phi)$ that plays the role of a fake superpotential, turning the dynamics into a first order problem, that may be analytically solved in a suitable time coordinate. In this framework, we propose integrable inflationary models with similar properties to the ones analysed in the literature and compatible with observations. Finally, we study scalar and tensor cosmological perturbations in each model by integrating Mukhanov-Sasaki equations via numerical and (semi-)analytic techniques. This allow us to compute the power spectrum, the spectral indices and the tensor-to-scalar ratio beyond the slow-roll approximation and compare our general results {against} the currently available observations and the theoretical predictions based on the slow-roll approximation.
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A really weird side-effect of working on what is, effectively, an optimization engine, is that so, so many algorithmic/analytic/PLT things become .... easy? (or gradual?)
I get to ... say. no.
No matter what, I basically always have the option of *failing*: the engine can always fall back to "drive-to-⊤, decline-to-make-a-firm-statement - this falls towards Run."
No matter how much buried complexity, the tool, at its core, only has one actual job: decide whether t…

Representability of continuous K-theory in rigid analytic motivic $\mathbb{A}^1$-homotopy theory
Christian Dahlhausen, Can Yaylali, Yicheng Zhou
https://arxiv.org/abs/2608.06209 https://arxiv.org/pdf/2608.06209 https://arxiv.org/html/2608.06209
arXiv:2608.06209v1 Announce Type: new
Abstract: We prove that both continuous K-theory and analytic K-theory of rigid analytic spaces (\`a la Kerz--Saito--Tamme) satisfiy descent with respect to the Nisnevich topology. Together with the fact that it is $\mathbb{A}^1$-invariant assuming resolutions of singularities, we deduce that it is representable in the $\mathbb{A}^{1}$-homotopy category of rigid spaces (\`a la Dahlhausen--Yaylali). We identifiy the representing object with both $\mathbb{Z}\times\mathrm{BGL}$ and the analytification of algebraic K-theory. As a consequence, we get a representability statement for coefficients in light condensed spectra. Moreover, we show Weibel vanishing and that continuous K-theory is $\mathbb{A}^1$-invariant on local Tate pairs (without any regularity assumption).
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Relative Cohomology and Deformations of Logarithmic Foliations on Complex Spaces
V\'itor Le\'on, Bruno Sc\'ardua
https://arxiv.org/abs/2608.06302 https://arxiv.org/pdf/2608.06302 https://arxiv.org/html/2608.06302
arXiv:2608.06302v1 Announce Type: new
Abstract: We study relative cohomology for logarithmic differential forms and meromorphic forms that are relatively closed with respect to the associated logarithmic foliation. Under suitable Diophantine, geometric, and topological hypotheses, we obtain decompositions into a meromorphic multiple of the defining logarithmic form, an exact meromorphic form, and a logarithmic form with constant residues. We establish a meromorphic extension theorem from suitable two-dimensional sections and prove local, polynomial, and homogeneous versions of the relative-cohomology decomposition; the global polynomial result is proved in arbitrary dimension by ambient leafwise continuation and meromorphic extension. Resolution of singularities, non-nodal saturation, and holonomy gluing are used to treat singular logarithmic foliations. As an application, we derive formal normal forms for analytic integrable deformations, including a several-component result in dimension two and a two-component extension in higher dimensions.
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OpenPINT: Open-source Planning for Isoeffective Nuclear Treatments in BNCT research
Ian Postuma, Sara J. Gonz\'alez, Setareh Fatemi, Cristina Pezzi, Carolina Ruzzon, Oreste Nicrosini, Valerio Vercesi, Silva Bortolussi
https://arxiv.org/abs/2606.21476 https://arxiv.org/pdf/2606.21476 https://arxiv.org/html/2606.21476
arXiv:2606.21476v1 Announce Type: new
Abstract: Objective: Present OpenPINT (Open-source Planning for Isoeffective Nuclear Treatments), an open-source treatment planning system for nuclear therapies that integrates Monte Carlo dose calculations with modular dosimetric and radiobiological models for photon-isoeffective dose evaluation.
Approach: We describe the software architecture, implementation choices, and data flow from segmented geometry and source configuration to NIfTI dose outputs. We define BNCT-relevant dosimetric metrics and evaluate the workflow with reproducible analytic and voxelized cylindrical-phantom benchmarks, supplemented by a geometric patient-positioning example.
Main results: The module provides a reproducible and scriptable path for generating MCNP-ready inputs, extracting component-wise BNCT dose maps, and computing analysis-ready outputs for quality checks and decision support. Fine-resolution voxelized configurations reproduced the 1 mm analytic reference within 0.13% for the brain-limited irradiation-time endpoint, whereas the full voxelized sweep exposed deviations up to 4.42% in coarse 8--10 mm configurations. Patient-wide gamma pass rates were at least 99.60% for the evaluated mesh/interpolation cases, while low-dose DVH-tail quantities remained sensitive to boundary discretization.
Significance: This first paper isolates and validates the simulation-preparation and dosimetric-analysis core of an open-source BNCT treatment-planning platform. It establishes a foundation for subsequent work on optimization, biological weighting, and clinical workflow integration.
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Crosslisted article(s) found for astro-ph.CO. https://arxiv.org/list/astro-ph.CO/new
[1/1]:
- Consistent Thermal Resummation and Phase Transitions with 2PI Methods
Amitayus Banik, Kimmo Kainulainen
https://arxiv.org/abs/2608.04102 https://mastoxiv.page/@arXiv_hepph_bot/117047502693663591
- Amnesia in the Axion Misalignment Landscape
Kierthika Chathirathas, Cem Er\"oncel, Mathieu Kaltschmidt, Javier Redondo, Kenichi Saikawa
https://arxiv.org/abs/2608.04139 https://mastoxiv.page/@arXiv_hepph_bot/117047523928429238
- Corrections to Hawking radiation from asteroid-mass primordial black holes: analytic and numerica...
Gabriel Vasquez, Bowen Chen, Cara Nel, Emily Koivu, Makana Silva, Christopher M. Hirata
https://arxiv.org/abs/2608.04346 https://mastoxiv.page/@arXiv_grqc_bot/117047445284689579
- Relativistic Signatures of Dark Matter Equations of State in Static Spherically Symmetric Spacetimes
Akash Yadav, Sudhava Yadav, K. K. Venkataratnam
https://arxiv.org/abs/2608.04470 https://mastoxiv.page/@arXiv_grqc_bot/117047473794282581
- Inflow-driven galaxy evolution - I. Revealing the physics of the fundamental metallicity relation
Kai Wang, et al.
https://arxiv.org/abs/2608.04784 https://mastoxiv.page/@arXiv_astrophGA_bot/117047534350606403
- Evolution of matter perturbations in the context of cosmic slowing down
D. Koh Cuende, G. Panotopoulos
https://arxiv.org/abs/2608.04922 https://mastoxiv.page/@arXiv_grqc_bot/117047514099918452
- Post-Inflationary Constraints on Nonminimally Coupled Quintessential Inflation
Min Gi Park, Seong Chan Park, Tomo Takahashi, Jos\'e Jaime Terente D\'iaz
https://arxiv.org/abs/2608.05079 https://mastoxiv.page/@arXiv_grqc_bot/117047542803232910
- CCAT: Design and Characterization of the 350 GHz Instrument Module
Ben Keller, et al.
https://arxiv.org/abs/2608.05121 https://mastoxiv.page/@arXiv_astrophIM_bot/117047574262723419
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Hierarchical Bayesian Calibration with Bayesian Committee Machine
Sebastian Heinekamp, David M. Higdon, Andreas Adelmann
https://arxiv.org/abs/2608.12603 https://arxiv.org/pdf/2608.12603 https://arxiv.org/html/2608.12603
arXiv:2608.12603v1 Announce Type: new
Abstract: Calibrating computational models to experimental data is a core task in applied statistics, especially in scientific domains, where physical experiments are costly and simulations play a central role in design and inference. Motivated by uncertainty quantification challenges in particle accelerator experiments, we develop and evaluate a Hierarchical Bayesian Calibration framework. In contrast to standard Bayesian calibration, certain inputs - such as beam injection amplitude - must be estimated separately for each experiment. We adopt the Kennedy-O'Hagan formulation and extend it with a hierarchical prior structure to model the distribution of experiment-specific calibration parameters, thus borrowing strength and improving generalisation across repeated experiments. A key methodological challenge arises from the need to evaluate a large number of forward simulations, which renders conventional Markov chain Monte Carlo approaches computationally prohibitive. To address this, we leverage the Bayesian Committee Machine as a scalable modelling strategy for Gaussian Process emulators. The BCM provides a principled divide-and-conquer approach, enabling parallel inference and reducing computational cost without requiring problem-specific tuning of the emulator approximation. Posterior sampling is performed using the No-U-Turn Sampler, supported by automatic differentiation in Julia, which removes the need for analytic gradient derivation and facilitates flexible model specification. We assess the proposed framework using established benchmark problems and simulated data from the Argonne Wakefield Accelerator. The results demonstrate substantial computational savings and robust calibration performance, highlighting the applicability of the method to large-scale scientific modelling problems.
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Precise Modeling of a Complex Solenoidal Magnetic Field Using a Combination of Analytic Functions and a PINN
Cole Kampa, Susan Dittmer, Henry Glass, Michael Schmitt
https://arxiv.org/abs/2608.21658

Moduli of the Sourceless Framed Beltrami-Vekua Normal Form
Daniel Alay\'on-Solarz
https://arxiv.org/abs/2608.05459 https://arxiv.org/pdf/2608.05459 https://arxiv.org/html/2608.05459
arXiv:2608.05459v1 Announce Type: new
Abstract: We study the moduli of sourceless framed Beltrami-Vekua equations under recombinations of the unknown, scalings, and orientation-preserving changes of variables. On every bounded simply connected domain, such an equation reduces to $w_{\bar z}=B\bar w$ on the unit disk, with residual symmetries given exactly by zero-free holomorphic gauges and M\"obius transformations. When $B$ is zero-free, the equation is completely classified by two data modulo M\"obius: the hyperbolic mass density $\vartheta=\tfrac14(1-|z|^2)^2|B|^2$ and the phase-curvature current $K=\Delta\arg B$, whose hyperbolic density at $C^2$ regularity is $\kappa=\Delta_{\mathrm{hyp}}\arg B$. We determine the exact range of these invariants: every positive H\"older density and every phase current arising as the Laplacian of a H\"older phase occur. For fields with zeros, the classification extends to the phase-integrable sector through the triple $(\vartheta,d\eta,d{\star}\eta)$, where $\eta=\operatorname{Im}(dB/B)$. On the tame sector, $d\eta$ is the atomic charge measure, while $d{\star}\eta$ carries the remaining phase curvature. Thus the pseudo-analytic mass and charge are numerical projections of a larger infinite-dimensional moduli space. Explicit equal-mass, equal-charge, inequivalent equations are exhibited.
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Replaced article(s) found for astro-ph.CO. https://arxiv.org/list/astro-ph.CO/new
[1/2]:
- Updated constraints on the primordial power spectrum at sub-Mpc scales
Torsten Bringmann, Djuna Croon, Sergio Sevillano Mu\~noz
https://arxiv.org/abs/2506.20704 https://mastoxiv.page/@arXiv_astrophCO_bot/114754296832362376
- $\texttt{SBi3PCF:}$ Simulation-based inference with the integrated 3PCF
David Gebauer, Anik Halder, Stella Seitz, Dhayaa Anbajagane
https://arxiv.org/abs/2510.13805 https://mastoxiv.page/@arXiv_astrophCO_bot/115383198732999954
- Galaxy Phase-Space and Field-Level Cosmology: The Strength of Semi-Analytic Models
Natal\'i S. M. de Santi, et al.
https://arxiv.org/abs/2512.10222 https://mastoxiv.page/@arXiv_astrophCO_bot/115705840924013174
- A high-significance detection of primordial tidal torque imprints
Sheng, Yu, Bao, Chen, Shao, Guo, Chen, Wang, Pen, Wang, Yang
https://arxiv.org/abs/2512.11383 https://mastoxiv.page/@arXiv_astrophCO_bot/115722821408944705
- Joint constraints on cosmic birefringence and early dark energy from ACT, Planck, DESI, and Panth...
Lu Yin, Guo-Hong Du, Tian-Nuo Li, Xin Zhang
https://arxiv.org/abs/2601.13624 https://mastoxiv.page/@arXiv_astrophCO_bot/115932398559254092
- A Reusable Hierarchical Framework for Joint Inference of Ultralight-Dark-Matter Mass and Core-Hal...
Prasun Panthi, Md Shahrier Islam Arham
https://arxiv.org/abs/2605.11600 https://mastoxiv.page/@arXiv_astrophCO_bot/116566279481155953
- GWTC-5.0: Constraints on the Cosmic Expansion Rate and Modified Gravitational-wave Propagation
The LIGO Scientific Collaboration, et al.
https://arxiv.org/abs/2605.27227 https://mastoxiv.page/@arXiv_astrophCO_bot/116645483007429258
- Constraints on the gravitational potential from DESI DR2 BAO and its implications for the local v...
Indranil Banik, Jos\'e Antonio N\'ajera, Harry Desmond
https://arxiv.org/abs/2606.02712
- Lyman-$\alpha$ forest constraints on pure and mixed fuzzy dark matter
Jianxiang Liu, Yan Gong, Xingchen Zhou
https://arxiv.org/abs/2606.06969 https://mastoxiv.page/@arXiv_astrophCO_bot/116713433278473918
- The Manticore Project II: Bayesian digital twins of cosmic structure across the SDSS and BOSS vol...
Stuart McAlpine, Jens Jasche, Guilhem Lavaux, Ludvig Doeser, Arthur Loureiro
https://arxiv.org/abs/2606.10020 https://mastoxiv.page/@arXiv_astrophCO_bot/116724751031288980
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Edge physics and the Casimir interaction in Maxwell--Chern--Simons theory on a strip
Nicola Maggiore
https://arxiv.org/abs/2608.12622 https://arxiv.org/pdf/2608.12622 https://arxiv.org/html/2608.12622
arXiv:2608.12622v1 Announce Type: new
Abstract: We study Maxwell--Chern--Simons theories on a strip $\mathcal M=\mathbb R^{1,1}\times[0,h]$ within the Symanzik framework for quantum field theory with boundaries. We add the most general local boundary functional within the quadratic one-tangential-derivative truncation adopted throughout the paper and derive the admissible boundary conditions from locality and the variational principle, with gauge symmetry implemented through boundary Ward identities. The strip supports two boundary $U(1)$ current algebras, with opposite levels fixed by the Chern--Simons coupling $\kappa$ and by boundary orientation, while edge velocities depend on local boundary couplings. They are equal and opposite on the flip-symmetric branch, which is the natural choice for a spatially symmetric strip. The same boundary data determine the reflection coefficients for bulk modes and yield a closed determinant (scattering) representation of the finite interaction energy. In the Maxwell limit ($\kappa=0$) the inter-edge interaction is long-ranged and produces a power-law Casimir force, whereas in Maxwell--Chern--Simons theory the topological mass $m=\kappa g^2$ generates Yukawa suppression at large separations $mh\gg1$. The determinant form also gives analytic control of the asymptotic regimes and separates topological boundary data (levels and anomaly inflow) from dynamical bulk effects (dispersion, boundary mixing and Casimir interaction).
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Bright Galaxies at Cosmic Dawn: A Cloud-Scale Star Formation Model Unifying Variable SFE, IMFs, and Stochasticity
Elie Cueto, Anne Hutter
https://arxiv.org/abs/2607.18868 https://arxiv.org/pdf/2607.18868 https://arxiv.org/html/2607.18868
arXiv:2607.18868v1 Announce Type: new
Abstract: To investigate the origins of the high abundance of UV-bright galaxies at z > 10, we present a new semi-analytic model that bridges the gap between small-scale star formation physics and large-scale galaxy evolution by explicitly tracking discrete star-forming clouds within smoothly evolving dark matter potentials. Unlike conventional semi-analytic models, our approach naturally captures the stochasticity of star formation, allowing us to isolate how cloud properties, star formation efficiencies (SFEs), and stellar initial mass functions (IMFs) shape the star-formation burstiness of early galaxies. Clouds are drawn sequentially from a cloud mass distribution, assigned an SFE and IMF depending on cloud mass, metallicity, and redshift, and evolve under the influence of short-timescale stellar feedback. We identify three distinct star formation regimes arising from the interplay between cloud masses, densities, and feedback timescales: a stochastic, feedback-limited regime in low-mass halos with long quiescent phases; a bursty regime regulated by the cloud mass distribution; and a smooth, continuous regime in massive halos. Our fiducial model adopts a dynamic IMF, an SFE linked to cloud properties and the IMF, and massive, moderately dense clouds. Varying assumptions reveals that top-heavy IMFs and enhanced SFEs in massive clouds amplify burstiness, while altering the upper cloud mass or density normalisation is secondary. Among model ingredients, the IMF most strongly impacts the UV luminosity function (LF), while switching to a constant SFE boosts the faint end, and reducing the maximum cloud mass decreases the bright end. These results demonstrate that cloud-scale physics critically shape early galaxy UV luminosity distributions.
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A Counterexample to the Liu--Lou--Zhu $\mathcal Q_p$--Carleson Embedding Conjecture
Bingyang Hu, Jie Xiao, Xiaojing Zhou
https://arxiv.org/abs/2608.04981 https://arxiv.org/pdf/2608.04981 https://arxiv.org/html/2608.04981
arXiv:2608.04981v1 Announce Type: new
Abstract: In this paper, we disprove a conjecture of Liu, Lou, and Zhu concerning Carleson embeddings of $\mathcal Q_p$ spaces into tent spaces for $0<p><1$. More precisely, we construct a finite positive $p$-Carleson measure $\mu$ on the unit disc $\mathbb D$ such that the canonical embedding $$ \operatorname{id}:\mathcal Q_p \longrightarrow \mathcal T_{p,2}^2(\mu) $$ is not bounded. The main ingredient is a new family of $\mathcal Q_p$ test functions that encodes Cantor-type structures on the unit circle $\mathbb T$ into the analytic behavior of functions in $\mathcal Q_p$. This construction is inspired by ideas developed in a recent work of the first and third authors on composition operators on $\mathcal Q_p$ spaces.
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Replaced article(s) found for math.CV. https://arxiv.org/list/math.CV/new
[1/1]:
- On weak Wolff--Denjoy theorem for certain non-convex domains
Vikramjeet Singh Chandel, Sanjoy Chatterjee, Chandan Sur
https://arxiv.org/abs/2604.07215 https://mastoxiv.page/@arXiv_mathCV_bot/116373677490709032
- Analytic properties of the parametric harmonic zeta function, with applications to harmonic Stiel...
Merve Kara \"Ozt\"urk, M\"um\"un Can
https://arxiv.org/abs/2606.27827 https://mastoxiv.page/@arXiv_mathCV_bot/116832295861757761
- The convergence of power matrices
Vyacheslav M. Abramov
https://arxiv.org/abs/2307.13142 https://mastoxiv.page/@arXiv_mathCA_bot/110779014337385995
- Three topological phases of the elliptic Ginibre ensembles with a point charge
Sung-Soo Byun, Eui Yoo
https://arxiv.org/abs/2502.02948 https://mastoxiv.page/@arXiv_mathph_bot/113955697046948117
- A Criterion for the Algebraic Density Property of Affine $SL_2$-Manifolds
Rafael B. Andrist, Jan Draisma, Gene Freudenburg, Gaofeng Huang, Frank Kutzschebauch
https://arxiv.org/abs/2502.13903 https://mastoxiv.page/@arXiv_mathAC_bot/114035075438980829
- Continuous first-order logic of abstract harmonic spaces
Haoming Wang
https://arxiv.org/abs/2604.14020 https://mastoxiv.page/@arXiv_mathLO_bot/116413265841271110
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Replaced article(s) found for math.CV. https://arxiv.org/list/math.CV/new
[1/1]:
- Singularity of non-pluripolar cohomology classes
Duc-Bao Nguyen, Shuang Su, Duc-Viet Vu
https://arxiv.org/abs/2508.14669 https://mastoxiv.page/@arXiv_mathCV_bot/115065656430154433
- Analytic structure of $q$-pseudoconcave subsets of continuous graphs
Filippo Valnegri
https://arxiv.org/abs/2603.04967 https://mastoxiv.page/@arXiv_mathCV_bot/116181309294452296
- Non-symmetric vector dyson equations
Jiaoyang Huang, Zhonggen Su, Ruizhe Xu
https://arxiv.org/abs/2607.16333 https://mastoxiv.page/@arXiv_mathCV_bot/116956844212485469
- Cofinite Zeros of High Derivatives
Eric Hou
https://arxiv.org/abs/2607.20816 https://mastoxiv.page/@arXiv_mathCV_bot/116973837268195335
- Coefficient Problems for a Ma-Minda Convex Class Associated with the Normalized Arcsine Mapping
Shantanu Panja, Abhijit Banerjee, Jhilik Banerjee, Sujoy Majumder
https://arxiv.org/abs/2607.27293 https://mastoxiv.page/@arXiv_mathCV_bot/117013548331556229
- Skoda division theorem on compact K\"ahler manifolds for line bundles with singular hermitian met...
Jaehoon Jeong
https://arxiv.org/abs/2607.29669 https://mastoxiv.page/@arXiv_mathCV_bot/117030527056701741
- Classes of Holomorphic Multicomplex-Valued Functions Generated by Elliptic-Admissible Involutions
Nicolas Doyon, Pierre-Olivier Paris\'e, William Verreault
https://arxiv.org/abs/2211.13875
- Fast vanishing cycles on perturbations of complex weighted-homogeneous complete intersection germs
Dmitry Kerner, Rodrigo Mendes
https://arxiv.org/abs/2311.13423 https://mastoxiv.page/@arXiv_mathAG_bot/111458171750230260
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Crosslisted article(s) found for nlin.CD. https://arxiv.org/list/nlin.CD/new
[1/1]:
- Gravity-Driven Eco-Epidemiological Dynamics in Tri-Trophic Food Chains
Yuvrajsingh Pravinsingh Patil, Eckehard Sch\"oll, Fakhteh Ghanbarnejad, Chandrakala Meena
https://arxiv.org/abs/2607.18434 https://mastoxiv.page/@arXiv_qbioPE_bot/116962557615085309
- Attractor Geometry Determines the Identifiability Limits of System Discovery
Matteo Gallo, Fabio Anselmi, Paolo Lazzari
https://arxiv.org/abs/2607.18490 https://mastoxiv.page/@arXiv_csLG_bot/116962673225255252
- Absence of hidden analytic conserved quantities in harmonically confined rods
Sahil Kumar Singh, Abhishek Dhar, Sanjay Moudgalya
https://arxiv.org/abs/2607.18872 https://mastoxiv.page/@arXiv_condmatstatmech_bot/116962534021259813
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Replaced article(s) found for cs.GR. https://arxiv.org/list/cs.GR/new
[1/1]:
- B-repLer: Language-guided Editing of CAD Models
Yilin Liu, Niladri Shekhar Dutt, Changjian Li, Niloy J. Mitra
https://arxiv.org/abs/2508.10201 https://mastoxiv.page/@arXiv_csGR_bot/115031625722935245
- Geometrically Approximated Modeling for Emitter-Centric Ray-Triangle Filtering in Arbitrarily Dyn...
Rabin Gajmer, Joonas Haapala, Zoltan Beck
https://arxiv.org/abs/2605.10457 https://mastoxiv.page/@arXiv_csGR_bot/116560660242490785
- NaP-Control: Navigating Diffusion Prior for Versatile and Fast Character Control
Chia-Wen Chen, Yan Wu, Korrawe Karunratanakul, Siyu Tang
https://arxiv.org/abs/2605.20209 https://mastoxiv.page/@arXiv_csGR_bot/116611422054088912
- Vis4GS: A Visual Analytic Tool for 3D Gaussian Splatting Reconstruction
Kai-Yuan Lin, Aryabima Mandala Putra, Jui-Chi Lee, Shih-Hsuan Hung
https://arxiv.org/abs/2606.26985 https://mastoxiv.page/@arXiv_csGR_bot/116815255549530340
- LATO.2: Factorized 3D Mesh Generation with Vertex and Topology Flow
Long, Zhao, Lin, Zhang, Guo, Liang, Xu, Hladk\'y, Nie{\ss}ner, Hu, Yang
https://arxiv.org/abs/2607.10623 https://mastoxiv.page/@arXiv_csGR_bot/116917178519049532
- OmniX: From Unified Panoramic Generation and Perception to Graphics-Ready 3D Scenes
Yukun Huang, Jiwen Yu, Yanning Zhou, Jianan Wang, Xintao Wang, Pengfei Wan, Xihui Liu
https://arxiv.org/abs/2510.26800 https://mastoxiv.page/@arXiv_csCV_bot/115468347012341868
- HairPort: In-context 3D-aware Hair Import and Transfer for Images
Alireza Heidari, Amirhossein Alimohammadi, Ali Mahdavi-Amiri
https://arxiv.org/abs/2606.12562 https://mastoxiv.page/@arXiv_csCV_bot/116735964747387747
- From Scene-Centric to Observer-Centric: Modeling Observer-Aware Relations for 3D Scene Graph Gene...
Jingjun Sun, Chaowei Wang, Zhirui Liu, Jiaxu Tian, Ming Yang, Yaoxing Wang, Yan Di, Shan Gao
https://arxiv.org/abs/2606.27412 https://mastoxiv.page/@arXiv_csCV_bot/116832228785083392
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The Dimension Conjecture for 2-Nondegenerate Hypersurfaces
M. A. Stepanova
https://arxiv.org/abs/2607.19186 https://arxiv.org/pdf/2607.19186 https://arxiv.org/html/2607.19186
arXiv:2607.19186v1 Announce Type: new
Abstract: The dimension conjecture in CR geometry is proved for 2-nondegenerate real-analytic hypersurfaces with sign-definite Levi form. Namely, it is proved that, in the indicated class of hypersurfaces in $\mathbb{C}^{N}$, the maximum dimension of finite-dimensional Lie algebras of infinitesimal holomorphic automorphisms is strictly smaller than the corresponding dimension for nondegenerate hyperquadrics in $\mathbb{C}^{N}$.
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Functional inequalities for starlike and convex functions associated with $g$-derivative operator
An Huang, Pinhong Long, Halit Orhan, Huo Tang
https://arxiv.org/abs/2607.18976 https://arxiv.org/pdf/2607.18976 https://arxiv.org/html/2607.18976
arXiv:2607.18976v1 Announce Type: new
Abstract: In this paper we first introduce a new class of derivative operators, termed $g$-derivative operators, which unifies the $q$-derivative, $(p,q)$-derivative and $(\alpha,\beta,\gamma)$-derivative operators, even classical derivative in the literature. Based on this generalized framework, we define two novel function classes, specifically $g$-starlike functions and $g$-convex functions. Further, we employ the subordination principle of analytic functions to conduct the coefficient estimations for such function classes, and subsequently derive the bounds for the corresponding Fekete-Szeg\"{o} inequality, Toeplitz determinants and Hankel determinants.
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On meromorphic pencils, cusp singularities and holomorphic foliations in the complex plane
Bruno Scardua
https://arxiv.org/abs/2607.18526 https://arxiv.org/pdf/2607.18526 https://arxiv.org/html/2607.18526
arXiv:2607.18526v1 Announce Type: new
Abstract: We study polynomial holomorphic $1$-forms in $\mathbb{C}^2$ that are homologically trivial along the fibers of meromorphic pencils of the form $
\phi = \frac{f^p}{g^q}, $
where $f,g$ are holomorphic functions (possibly polynomials) in general position and $(p,q)=1$. We first establish a homological characterization of relative exactness: if a polynomial $1$-form $\Omega$ has vanishing periods along every closed path contained in the fibers $\phi_c$, then $\Omega$ decomposes as $\Omega = a\omega_0 dh,$ where $\omega_0 = p gdf - q f dg,$ for suitable polynomials $a$ and $h$. In the homogeneous case, degree constraints force $a$ to be constant. We then apply this integration principle to foliations leaving invariant plane curve singularities of cusp type \[ f^p g^q = 0. \] Under a natural genericity (Morse type) condition, we prove a globalization theorem showing that homological triviality along the associated pencil implies that $\Omega$ is a polynomial cusp basic form, \[ \Omega = d(f^p g^q) \lambda (p gdf - q fdg), \qquad \lambda \in \mathbb{C}. \] In particular, such foliations admit Liouvillian first integrals of hypergeometric type.
Our results provide a bridge between relative cohomology, the geometry of rational pencils, and the analytic structure of cusp foliations, yielding explicit normal forms and first integrals under homological hypotheses.
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Certain real surfaces in $\mathbb{C}^2$ with degenerated CR singularities
Sushil Gorai, Suman Karak, Golam Mostafa Mondal
https://arxiv.org/abs/2607.17016 https://arxiv.org/pdf/2607.17016 https://arxiv.org/html/2607.17016
arXiv:2607.17016v1 Announce Type: new
Abstract: In this paper, we study the local polynomial convexity of certain smooth real surfaces in \(\mathbb{C}^2\) with isolated CR singularity at the origin with higher-order of degeneracy. Under the assumption that the surface can be pulled back to a union of finitely many pairwise transverse totally real surfaces by a proper holomorphic map from $\mathbb{C}^2$ to $\mathbb{C}^2$, we obtain a normal form for such surfaces near the origin as
$\{(z,w)\in\mathbb{C}^2: w= \overline{z}^k o(|z|^{k})\}$
or
$M_t
:=
\left\{
(z,w)\in\mathbb{C}^2 :
w=(z t\overline{z})^k o(|z|^k)
\right\}$,
for some \(t>0\), where the parameter $t$ is a local biholomorphic invariant. We focus on the surfaces with order of degeneracy $k\geq 3$.
We prove that $M_t$ is locally polynomially convex at the origin if $t>cosec\left(\frac{\pi}{k}\right)$.
On the other hand, for $0<\frac{1}{k-2}$, we will also show that $M_t$ fails to be locally polynomially convex at the origin; and furthermore, a $(2k-3)$-parameter family of analytic discs attached to $M_t$ for $0<\min\left\{\sin\left(\frac{\pi}{k}\right),\frac{1}{k-2}\right\}$.
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