Nilpotence of Frobenius action and the Hodge filtration on local cohomology

DOI10.1016/j.aim.2016.09.029zbMath1352.13004arXiv1503.08772OpenAlexW2963071360MaRDI QIDQ340413

Shunsuke Takagi, Vasudevan Srinivas

Publication date: 14 November 2016

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1503.08772

zbMATH Keywords

Brauer groupsHodge filtrationdivisor class groups\(F\)-nilpotent singularities

Mathematics Subject Classification ID

Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30) Brauer groups of schemes (14F22) Class groups (13C20)

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On the uniform bound of Frobenius test exponents ⋮ Local Cohomology—An Invitation ⋮ Cohomologically Full Rings ⋮ Artin-Mazur heights and Yobuko heights of proper log smooth schemes of Cartier type, and Hodge-Witt decompositions and Chow groups of quasi-\(F\)-split threefolds ⋮ Nilpotence of Frobenius actions on local cohomology and Frobenius closure of ideals ⋮ BIG COHEN–MACAULAY TEST IDEALS IN EQUAL CHARACTERISTIC ZERO VIA ULTRAPRODUCTS ⋮ A characterization of multiplier ideals via ultraproducts ⋮ \(F\)-nilpotent rings and permanence properties ⋮ Rees algebras and generalized depth‐like conditions in prime characteristic ⋮ Homological properties of pinched Veronese rings

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