On coefficient ideals

DOI10.1080/00927872.2023.2223305zbMath1524.13025arXiv2208.12147OpenAlexW4382240973MaRDI QIDQ6060301

Tony Joseph Puthenpurakal

Publication date: 3 November 2023

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

Full work available at URL: https://arxiv.org/abs/2208.12147

zbMATH Keywords

multiplicityreductionHilbert polynomialassociated graded ringscoefficient ideals

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Multiplicity theory and related topics (13H15) Local cohomology and commutative rings (13D45) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30)

Cites Work

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• Ratliff-Rush filtration, regularity and depth of higher associated graded modules. II.
• Ratliff-Rush filtration, regularity and depth of higher associated graded modules. I
• Hilbert coefficients of a Cohen-Macaulay module.
• The \(S_ 2\)-closure of a Rees algebra
• Coefficient Ideals
• First coefficient ideals and the \(S_2\)-ification of a Rees algebra

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