2025

最新文章

• On the p-adic weight-monodromy conjecture for complete intersections in toric varieties AI翻译
  作者：Binda, Federico; Kato, Hiroki; Vezzani, Alberto
  作者单位：University of Milan; Universite Paris Saclay
  摘要：We give a proof of the p-adic weight-monodromy conjecture for scheme-theoretic complete intersections in projective smooth toric varieties. The strategy is based on Scholze's proof in the l-adic setting, which we adapt using homotopical results developed in the context of rigid analytic motives.
• Extensions of Schoen-Simon-Yau and Schoen-Simon theorems via iteration à la De Giorgi AI翻译
  作者：Bellettini, Costante
  作者单位：University of London; University College London
  摘要：We give an alternative proof of the Schoen-Simon-Yau curvature estimates and associated Bernstein-type theorems (Schoen et al. in Acta Math. 134:275-288, 1975), and extend the original result by including the case of 6-dimensional (stable minimal) immersions. The key step is an epsilon-regularity theorem, that assumes smallness of the scale-invariant L2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepack...
• The Adams differentials on the classes hj3 AI翻译
  作者：Burklund, Robert; Xu, Zhouli
  作者单位：University of Copenhagen; University of California System; University of California Los Angeles
• Symplectic L-functions and symplectic Reidemeister torsion (mod squares) AI翻译
  作者：Abdurrahman, Amina; Venkatesh, Akshay
  作者单位：Princeton University; Institute for Advanced Study - USA
  摘要：We propose (and prove under some restrictions) that the square class of the central value of the L-function of an everywhere unramified symplectic Galois representation is given by a universal cohomological formula. This phenomenon is parallel to the appearance of metaplectic groups in quantization. In the course of the proof we also establish a topological analogue of this statement, concerning Reidemeister torsion of 3-manifolds.
• The Landis conjecture on exponential decay AI翻译
  作者：Logunov, A.; Malinnikova, E.; Nadirashvili, N.; Nazarov, F.
  作者单位：Massachusetts Institute of Technology (MIT); Stanford University; Aix-Marseille Universite; Centre National de la Recherche Scientifique (CNRS); University System of Ohio; Kent State University; Kent State University Kent; Kent State University Salem
  摘要：Consider a solution u to Delta u + Vu = 0 on R-2, where V is real-valued, measurable and |V|<= 1. If |u(x)| <= exp (-C|x|log(1/2)|x|), |x| > 2, where C is a sufficiently large absolute constant, then u equivalent to 0.
• W*-Superrigidity for cocycle twisted group von Neumann algebras AI翻译
  作者：Donvil, Milan; Vaes, Stefaan
  作者单位：KU Leuven
  摘要：We construct countable groups G with the following new degree of W*-superrigidity: if L(G) is virtually isomorphic, in the sense of admitting a bifinite bimodule, with any other group von Neumann algebra L(Lambda), then the groups G and Lambda must be virtually isomorphic. Moreover, we allow both group von Neumann algebras to be twisted by an arbitrary 2-cocycle. We also give examples of II1 factors N that are indecomposable in every sense: they are not virtually isomorphic to any cocycle twis...
• Intermediate complex structure limit for Calabi-Yau metrics AI翻译
  作者：Li, Yang
  摘要：We study polarised degenerations of n\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$n$\end{document}-dimensional Calabi-Yau hypersurfaces {F0F1 & mldr;Fm+tF=0}\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} ...
• Sharp bounds on the Nusselt number in Rayleigh-Bénard convection and a bilinear estimate by Coifman-Meyer AI翻译
  作者：Chanillo, Sagun; Malchiodi, Andrea
  作者单位：Rutgers University System; Rutgers University New Brunswick; Scuola Normale Superiore di Pisa
  摘要：We prove a conjecture in fluid dynamics concerning optimal bounds for heat transportation in the infinite Prandtl number limit and for large Rayleigh number Ra\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$\mathrm{Ra}$\end{document}, predicted in (Howard in Proceedings of the 11th International Congress of Applied ...
• The D-equivalence conjecture for hyper-Kähler varieties via hyperholomorphic bundles AI翻译
  作者：Maulik, Davesh; Shen, Junliang; Yin, Qizheng; Zhang, Ruxuan
  作者单位：Massachusetts Institute of Technology (MIT); Yale University; Peking University; Fudan University
  摘要：We show that birational hyper-K & auml;hler varieties of K3[n]-type are derived equivalent, establishing the D-equivalence conjecture in these cases. The Fourier-Mukai kernels of our derived equivalences are constructed from projectively hyperholomorphic bundles, following ideas of Markman. Our method also proves a stronger version of the D-equivalence conjecture for hyper-K & auml;hler varieties of K3[n]-type with Brauer classes.