On the vanishing of local cohomology of the absolute integral closure in positive characteristic

DOI10.1016/j.jalgebra.2016.02.017zbMath1338.13013arXiv1504.02925OpenAlexW2964061630MaRDI QIDQ286547

Pham Hung Quy

Publication date: 20 May 2016

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1504.02925

zbMATH Keywords

local cohomologyabsolute integral closurebig Cohen-Macaulay modulescharacteristic p

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Local cohomology and commutative rings (13D45) Local cohomology and algebraic geometry (14B15) Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35) Homological conjectures (intersection theorems) in commutative ring theory (13D22) Étale and flat extensions; Henselization; Artin approximation (13B40)

Related Items (3)

Integral perfectoid big Cohen-Macaulay algebras via André's theorem ⋮ A VARIANT OF PERFECTOID ABHYANKAR’S LEMMA AND ALMOST COHEN–MACAULAY ALGEBRAS ⋮ Finiteness properties and numerical behavior of local cohomology

Cites Work

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• Galois extensions, plus closure, and maps on local cohomology
• A splitting theorem for local cohomology and its applications
• Attached primes of local cohomology modules under localization and completion
• Absolute integral closure in positive characteristic
• Tight closure does not commute with localization
• Tight closure in non-excellent rings
• Infinite integral extensions and big Cohen-Macaulay algebras
• Tight closure of parameter ideals
• On arithmetic Macaulayfication of Noetherian rings
• Some Results on the Vanishing of Local Cohomology Modules

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