Upper bounds on two Hilbert coefficients

DOI10.1016/j.jalgebra.2023.06.036arXiv2206.03974OpenAlexW4384207741MaRDI QIDQ6170766

Le Xuan Dung, Juan Elias, Lê Tuân Hoa

Publication date: 10 August 2023

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

Full work available at URL: https://arxiv.org/abs/2206.03974

zbMATH Keywords

Hilbert functionlocal cohomologyCohen-MacaulayHilbert coefficient

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Local cohomology and commutative rings (13D45)

Cites Work

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• Hilbert functions of filtered modules
• On the associated graded ring of a local Cohen-Macaulay ring
• On the coefficients of the Hilbert polynomial
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• On the first normalized Hilbert coefficient
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• Reduction Exponent and Degree Bound for the Defining Equations of Graded Rings
• A Note on the Coefficients of the Hilbert-Samuel Polynomial for a Cohen-Macaulay Module
• The Reduction Number of an Ideal and the Local Cohomology of the Associated Graded Ring
• The Reduction Number of a One-Dimensional Local Ring
• Hilbert Coefficients and the Depths of Associated Graded Rings
• Bounding the first Hilbert coefficient
• The Hilbert-Samuel Polynomial in a Filtered Module
• A Note on the Coefficients of the Abstract Hilbert Function

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