Deformation of F-injectivity and local cohomology

DOI10.1512/iumj.2014.63.5313zbMath1322.13004arXiv1210.3589OpenAlexW2963244347WikidataQ123240328 ScholiaQ123240328MaRDI QIDQ2931112

Jun Horiuchi, Kazuma Shimomoto, Lance Edward Miller

Publication date: 24 November 2014

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.3589

zbMATH Keywords

deformationFrobenius maplocal cohomologyF-injectivity

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Local cohomology and commutative rings (13D45) Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35) Deformations of singularities (14B07) Local rings and semilocal rings (13H99)

Related Items (12)

F-stable secondary representations and deformation of F-injectivity ⋮ Surjectivity of some local cohomology map and the second vanishing theorem ⋮ Local Cohomology—An Invitation ⋮ Nilpotence of Frobenius actions on local cohomology and Frobenius closure of ideals ⋮ Certain endomorphism rings of local cohomology modules and Lyubeznik numbers ⋮ On generalized deformation problems ⋮ 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 ⋮ \(F\)-injectivity and Frobenius closure of ideals in Noetherian rings of characteristic \(p>0\) ⋮ Positive characteristic algebraic geometry ⋮ FROBENIUS ACTIONS ON LOCAL COHOMOLOGY MODULES AND DEFORMATION

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