A New Version of α-Tight Closure

DOI10.1017/S0027763000025952zbMath1157.13002arXivmath/0703932OpenAlexW2130466291MaRDI QIDQ5302840

Adela Vraciu

Publication date: 13 January 2009

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0703932

zbMATH Keywords

\(\mathfrak{a}\)-tight closurejoint Hilbert-Kunz multiplicity

Mathematics Subject Classification ID

Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35)

Related Items (3)

Fundamental groups of $F$-regular singularities via $F$-signature ⋮ \(F\)-signature of pairs and the asymptotic behavior of Frobenius splittings ⋮ Drops in joint Hilbert-Kunz multiplicities and projective equivalence

Cites Work

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• Tight closure in graded rings
• Notes on the Hilbert-Kunz function.
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• \(\star\)-independence and special tight closure.
• The Hilbert-Kunz function
• Jumping coefficients of multiplier ideals
• Geometric interpretation of tight closure and test ideals
• The multiplier ideal is a universal test ideal
• Tight Closure, Invariant Theory, and the Briancon-Skoda Theorem
• Cyclic Purity Versus Purity in Excellent Noetherian Rings
• A characterization of rational singularities in terms of injectivity of Frobenius maps
• On a generalization of test ideals
• A generalization of tight closure and multiplier ideals
• A tight closure analogue of analytic spread
• Extension of weakly and strongly F-regular rings by flat maps
• Localization and test exponents for tight closure

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