Local cohomology of Frobenius images over graded affine algebras

DOI10.1006/jabr.1999.8266zbMath0955.13001OpenAlexW2023875913MaRDI QIDQ1570882

Adela Vraciu

Publication date: 21 February 2001

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

Full work available at URL: https://doi.org/10.1006/jabr.1999.8266

zbMATH Keywords

local cohomologyFrobenius imageslocalization of tight closure

Mathematics Subject Classification ID

(Co)homology of commutative rings and algebras (e.g., Hochschild, André-Quillen, cyclic, dihedral, etc.) (13D03) Local cohomology and commutative rings (13D45) Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35)

Related Items (10)

Local Cohomology—An Invitation ⋮ Local cohomology bounds and the weak implies strong conjecture in dimension 4 ⋮ Nilpotence of Frobenius actions on local cohomology and Frobenius closure of ideals ⋮ The saturation of frobenius powers of ideals ⋮ The existence of the \(F\)-signature for rings with large \(\mathbb Q\)-Gorenstein locus ⋮ \(F\)-signature exists ⋮ Localization of tight closure in two-dimensional rings ⋮ Local Okounkov bodies and limits in prime characteristic ⋮ An observation on generalized Hilbert-Kunz functions ⋮ Growth of primary decompositions of Frobenius powers of ideals

Cites Work

• The saturation of frobenius powers of ideals
• Tight closure and strong F-regularity
• Tight Closure, Invariant Theory, and the Briancon-Skoda Theorem
• Localization of tight closure and modules of finite phantom projective dimension.
• F-Regularity, Test Elements, and Smooth Base Change
• Strong and weak F -regularity are equivalent for graded rings

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