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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.
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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...
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作者：Burklund, Robert; Xu, Zhouli
作者单位：University of Copenhagen; University of California System; University of California Los Angeles
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作者：Cekic, Mihajlo; Lefeuvre, Thibault; Moroianu, Andrei; Semmelmann, Uwe
作者单位：University of Zurich; Universite Paris Cite; Sorbonne Universite; Centre National de la Recherche Scientifique (CNRS); Universite Paris Cite; Universite Paris Saclay; Centre National de la Recherche Scientifique (CNRS); Institute of Mathematics of the Romanian Academy; Romanian Academy; University of Stuttgart
摘要：It is known that the frame flow on a closed 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 Riemannian manifold with negative sectional curvature is ergodic if n\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage...
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作者：Lafont, Jean-Francois; Ruffoni, Lorenzo
作者单位：University System of Ohio; Ohio State University; Tufts University
摘要：We prove that the Gromov hyperbolic groups obtained by the strict hyperbolization procedure of Charney and Davis are virtually compact special, hence linear and residually finite. Our strategy consists in constructing an action of a hyperbolized group on a certain dual CAT ( 0 ) \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin...
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作者：Bringmann, Bjoern; Deng, Yu; Nahmod, Andrea R.; Yue, Haitian
作者单位：Institute for Advanced Study - USA; Princeton University; University of Southern California; University of Massachusetts System; University of Massachusetts Amherst; ShanghaiTech University
摘要：We prove the invariance of the Gibbs measure under the dynamics of the three-dimensional cubic wave equation, which is also known as the hyperbolic Phi 34\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$\Phi <^>{4}_{3}$\end{document}-model. This result is the hyperbolic counterpart to seminal works on the parabolic P...
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作者：Dougall, Rhiannon; Sharp, Richard
作者单位：Durham University; University of Warwick
摘要：This note corrects an error in our paper Anosov flows, growth rates on covers and group extensions of subshifts, Invent. Math. 223:445-483, 2021. This leaves our main results, Theorem 1.1, Corollary 1.2, Theorem 1.3 and Theorem 5.1, unchanged. We also fill a gap in the arguments presented in Sect. 9; this requires a small modification to the results in this section.
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作者：Casagrande, C.
作者单位：University of Turin
摘要：Let X be a smooth, complex Fano 4-fold, and rho(X) its Picard number. We show that if rho(X) > 12, then X is a product of del Pezzo surfaces. The proof relies on a careful study of divisorial elementary contractions f : X -> Y such that dim f (Exc(f)) = 2, together with the author's previous work on Fano 4-folds. In particular, given f : X -> Y as above, under suitable assumptions we show that S := f(Exc(f)) is a smooth del Pezzo surface with -K-S = (-K-Y)(|S).
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作者：Braun, Lukas; Greb, Daniel; Langlois, Kevin; Moraga, Joaquin
作者单位：University of Innsbruck; University of Duisburg Essen; Universidade Federal do Ceara; University of California System; University of California Los Angeles
摘要：We prove that the quotient of a klt type singularity by a reductive group is of klt type in characteristic 0. In particular, given a klt variety X\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$X$\end{document} endowed with the action of a reductive group G\documentclass[12pt]{minimal} \usepackage{amsmath} \usepacka...
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作者：Barraquand, Guillaume; Corwin, Ivan; Yang, Zongrui
作者单位：Universite Paris Cite; Sorbonne Universite; Universite PSL; Ecole Normale Superieure (ENS); Columbia University
摘要：We prove that the stationary measures for the free-energy increment process for the geometric last passage percolation (LPP) and log-gamma polymer model on a diagonal strip is given by a marginal of a two-layer Gibbs measure with a simple and explicit description. This result is shown subject to certain restrictions on the parameters controlling the weights on the boundary of the strip. However, from this description and an analytic continuation argument we are able to access the stationary me...
