Weak F-regularity deforms in \(\mathbb{Q}\)-Gorenstein rings

DOI10.1006/jabr.1997.7369zbMath0915.13003OpenAlexW2078113258MaRDI QIDQ1270996

Brian MacCrimmon, Mordechai Katzman, Ian M. Aberbach

Publication date: 28 June 1999

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

Full work available at URL: https://doi.org/10.1006/jabr.1997.7369

zbMATH Keywords

tight closureFrobenius power\(\mathbb Q\)-Gorenstein ringweak \(F\)-regular ring

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Integral closure of commutative rings and ideals (13B22) Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35)

Related Items

F-regular and F-pure rings vs. log terminal and log canonical singularities ⋮ Local Cohomology—An Invitation ⋮ A generalization of tight closure and multiplier ideals ⋮ On generalized deformation problems ⋮ On strongly \(F\)-regular inversion of adjunction ⋮ Applications of pseudocanonical covers to tight closure problems

Cites Work

• Deformation of F-purity and F-regularity
• Finite criteria for weak \(F\)-regularity
• Uniform stability of kernels of Koszul cohomology indexed by the Frobenius endomorphism
• F-rational rings have rational singularities
• Tight Closure, Invariant Theory, and the Briancon-Skoda Theorem
• F-regularity does not deform
• F-Regularity, Test Elements, and Smooth Base Change
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