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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
