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作者：Arone, Gregory; Barthel, Tobias; Heard, Drew; Sanders, Beren
作者单位：Stockholm University; Max Planck Society; Norwegian University of Science & Technology (NTNU); University of California System; University of California Santa Cruz
摘要：We prove a thick subcategory theorem for the category of d\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$d$\end{document}-excisive functors from finite spectra to spectra. This generalizes the Hopkins-Smith thick subcategory theorem (the d=1\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \us...
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作者：Kurlberg, Par; Lester, Stephen
作者单位：Royal Institute of Technology; University of London; King's College London
摘要：We show that along a density one subsequence of admissible radii, the nearest neighbor spacing between lattice points on circles is Poissonian.
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作者：Kuznetsov, Alexander; Shinder, Evgeny
作者单位：Russian Academy of Sciences; Steklov Mathematical Institute of the Russian Academy of Sciences; HSE University (National Research University Higher School of Economics); University of Sheffield; University of Bonn
摘要：Using the technique of categorical absorption of singularities we prove that the nontrivial components of the derived categories of del Pezzo threefolds of degree d is an element of{2,3,4,5}\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$d \in \{2,3,4,5\}$\end{document} and crepant categorical resolutions of the non...
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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：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.
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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} ...
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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 ...
