The bound of the difference between parameter ideals and their tight closures.

DOI10.3836/tjm/1244208935zbMath1087.13504OpenAlexW2086806235MaRDI QIDQ696206

Yukio Nakamura, Shiro Goto

Publication date: 2002

Published in: Tokyo Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3836/tjm/1244208935

zbMATH Keywords

characteristic \(p\)tight closureNoetherian local ring

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Multiplicity theory and related topics (13H15) Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35)

Related Items (2)

A Buchsbaum theory for tight closure ⋮ Tight closure of parameter ideals in local rings \(F\)-rational on the punctured spectrum

Cites Work

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• On the associated graded rings of parameter ideals in Buchsbaum rings
• Local rings of Cohen-Macaulay \(F\)-rational rings are \(F\)-rational
• On numerical invariants of Noetherian local rings of characteristic \(p\)
• Hilbert-Kunz multiplicity and an inequality between multiplicity and colength
• The theory of d-sequences and powers of ideals
• Openness of the F-rational locus and smooth base change
• Tight Closure, Invariant Theory, and the Briancon-Skoda Theorem
• Verallgemeinerte COHEN-MACAULAY-Moduln
• Multiplicity and tight closures of parameters

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