Tight closure in non-excellent rings

DOI10.1016/J.JALGEBRA.2009.12.018zbMath1202.13003OpenAlexW2025214233MaRDI QIDQ986524

Raymond C. Heitmann

Publication date: 11 August 2010

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2009.12.018

zbMATH Keywords

tight closurelocal cohomologynon-excellent rings

Mathematics Subject Classification ID

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

Related Items (1)

On the vanishing of local cohomology of the absolute integral closure in positive characteristic

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Tight closure does not commute with localization
• Pseudo-rational local rings and a theorem of Briancon-Skoda about integral closures of ideals
• The purity of the Frobenius and local cohomology
• Constructing local generic formal fibers
• The Hilbert-Kunz function
• F-rational rings have rational singularities
• Tight Closure, Invariant Theory, and the Briancon-Skoda Theorem
• F-Regularity, Test Elements, and Smooth Base Change
• Characterization of Completions of Unique Factorization Domains
• Phantom homology
• Some results on tight closure and completion

This page was built for publication: Tight closure in non-excellent rings