Finiteness Properties of Local Cohomology for F-Pure Local Rings

DOI10.1093/imrn/rnt130zbMath1349.13011arXiv1204.1539OpenAlexW2963722544MaRDI QIDQ2929650

Linquan Ma

Publication date: 14 November 2014

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1204.1539

zbMATH Keywords

local cohomologyF-pureanti-nilpotentFH-finiteFH-finite length

Mathematics Subject Classification ID

Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35)

Related Items (15)

Local Cohomology—An Invitation ⋮ Cohomologically Full Rings ⋮ Tight closure of parameter ideals in local rings \(F\)-rational on the punctured spectrum ⋮ Gröbner deformations and F‐singularities ⋮ A study of quasi-Gorenstein rings. II: Deformation of quasi-Gorenstein property ⋮ Local cohomology of Du Bois singularities and applications to families ⋮ Frobenius methods in combinatorics ⋮ Local cohomology and Lyubeznik numbers of \(F\)-pure rings ⋮ \(F\)-injectivity and Frobenius closure of ideals in Noetherian rings of characteristic \(p>0\) ⋮ $D$-module and $F$-module length of local cohomology modules ⋮ Comparison of local cohomlogy modules of a ring and its amalgamated algebra along a given ideal ⋮ THE GAMMA CONSTRUCTION AND ASYMPTOTIC INVARIANTS OF LINE BUNDLES OVER ARBITRARY FIELDS ⋮ F-THRESHOLDS OF GRADED RINGS ⋮ FROBENIUS ACTIONS ON LOCAL COHOMOLOGY MODULES AND DEFORMATION ⋮ Gröbner Degenerations

This page was built for publication: Finiteness Properties of Local Cohomology for F-Pure Local Rings