When does the F-signature exist?

DOI10.5802/afst.1118zbMath1118.13003arXivmath/0502351OpenAlexW2042850311MaRDI QIDQ2372642

Ian M. Aberbach, Florian Enescu

Publication date: 1 August 2007

Published in: Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0502351

zbMATH Keywords

F-signatureF-finite ring

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35)

Related Items (11)

The direct sum decomposability of \(^eM\) in dimension 2 ⋮ Tight closure and strongly F-regular rings ⋮ Globalizing F-invariants ⋮ The existence of the \(F\)-signature for rings with large \(\mathbb Q\)-Gorenstein locus ⋮ \(F\)-signature and Hilbert-Kunz multiplicity: a combined approach and comparison ⋮ \(F\)-signature exists ⋮ The F-signature of an affine semigroup ring ⋮ Observations on the \(F\)-signature of local rings of characteristic \(p\) ⋮ The lower semicontinuity of the Frobenius splitting numbers ⋮ Equimultiplicity theory of strongly \(F\)-regular rings ⋮ The structure of \(F\)-pure rings

Cites Work

• Unnamed Item
• The \(F\)-signature and strong \(F\)-regularity.
• The F-signature of an affine semigroup ring
• Two theorems about maximal Cohen-Macaulay modules
• The structure of \(F\)-pure rings
• Tight closure and strong F-regularity
• 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
• Strong and weak F -regularity are equivalent for graded rings
• MODULES WITH FINITE $F$-REPRESENTATION TYPE

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