RELATIVE HILBERT CO-EFFICIENTS

DOI10.1017/S0017089516000525zbMath1386.13015arXiv1512.04315OpenAlexW2964199418MaRDI QIDQ5369121

Rakesh B. T. Reddy, Hero Saremi, Amir Mafi, Tony Joseph Puthenpurakal

Publication date: 13 October 2017

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

Full work available at URL: https://arxiv.org/abs/1512.04315

zbMATH Keywords

Cohen-Macaulay ringsassociated graded algebrasHilbert coefficientsintegrally closed idealsnormal idealsreduction of an ideal

Mathematics Subject Classification ID

Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30)

Uses Software

• CoCoA

Cites Work

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• On the depth of fiber cones of stretched \(\mathfrak m\)-primary ideals
• Ratliff-Rush filtration, regularity and depth of higher associated graded modules. I
• Hilbert functions and symbolic powers
• \(\Delta\)-genera and sectional genera of commutative rings
• Coefficients of normal Hilbert polynomials
• On the associated graded ring of a local Cohen-Macaulay ring
• The Coefficients of the Hilbert Polynomial and the Reduction Number of an Ideal
• Normal ideals in regular rings
• Links of prime ideals
• Hilbert Coefficients and the Depths of Associated Graded Rings
• A Note on the Coefficients of the Abstract Hilbert Function

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