The number of torsion divisors in a strongly F-regular ring is bounded by the reciprocal of F-signature

DOI10.1080/00927872.2021.1986057zbMath1490.13007arXiv2009.10694OpenAlexW3206552078MaRDI QIDQ5061603

Isaac Martín

Publication date: 14 March 2022

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

Full work available at URL: https://arxiv.org/abs/2009.10694

zbMATH Keywords

divisoralgebraic geometrycommutative algebra\(F\)-signature\(F\)-singularity

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35)

Related Items (2)

Singularities of determinantal pure pairs ⋮ Tame fundamental groups of pure pairs and Abhyankar's lemma

Cites Work

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• \(F\)-signature exists
• Generalized divisors on Gorenstein schemes
• The \(F\)-signature and strong \(F\)-regularity.
• The F-signature of an affine semigroup ring
• Two theorems about maximal Cohen-Macaulay modules
• Equimultiplicity theory of strongly \(F\)-regular rings
• Generalizing Serre’s Splitting Theorem and Bass’s Cancellation Theorem via free-basic elements
• Simplicity of Rings of Differential Operators in Prime Characteristic
• Fundamental groups of $F$-regular singularities via $F$-signature
• A Theorem About Maximal Cohen–Macaulay Modules
• Depth of -singularities and base change of relative canonical sheaves
• Divisor class groups of graded hypersurfaces

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