The existence of the \(F\)-signature for rings with large \(\mathbb Q\)-Gorenstein locus

DOI10.1016/j.jalgebra.2007.10.017zbMath1152.13004OpenAlexW2074231005MaRDI QIDQ926852

Ian M. Aberbach

Publication date: 21 May 2008

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2007.10.017

zbMATH Keywords

tight closurelocal cohomologyHilbert-Kunz multiplicityF-signature

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35)

Related Items (7)

Some extensions of Hilbert-Kunz multiplicity ⋮ Tight closure and strongly F-regular rings ⋮ On the generalized Hilbert-Kunz function and multiplicity ⋮ Globalizing F-invariants ⋮ \(F\)-signature exists ⋮ The lower semicontinuity of the Frobenius splitting numbers ⋮ The shape of Hilbert-Kunz functions

Cites Work

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• Rational singularities, with applications to algebraic surfaces and unique factorization
• The structure of \(F\)-pure rings
• F-rational rings have rational singularities
• Tight closure and strong F-regularity
• Tight Closure, Invariant Theory, and the Briancon-Skoda Theorem
• Cyclic Purity Versus Purity in Excellent Noetherian Rings
• Simplicity of Rings of Differential Operators in Prime Characteristic
• SOME CONDITIONS FOR THE EQUIVALENCE OF WEAK AND STRONG F-REGULARITY

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