A Note on the Coefficients of the Hilbert-Samuel Polynomial for a Cohen-Macaulay Module

DOI10.1112/jlms/s2-25.3.449zbMath0455.13005OpenAlexW2032746122MaRDI QIDQ3903096

Hefzi A. Mehran, David Kirby

Publication date: 1982

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/jlms/s2-25.3.449

zbMATH Keywords

Cohen-Macaulay moduleKoszul complexcoefficients of Hilbert-Samuel polynomiallength of filtration

Mathematics Subject Classification ID

Related Items (12)

A study of the Hilbert-Mumford criterion for the stability of projective varieties ⋮ Dependence of Hilbert coefficients ⋮ On Hilbert functions and cohomology ⋮ On the coefficients of the Hilbert polynomial ⋮ Upper bounds on two Hilbert coefficients ⋮ A 𝑑-dimensional extension of a lemma of Huneke’s and formulas for the Hilbert coefficients ⋮ Bounding the first Hilbert coefficient ⋮ Castelnuovo-Mumford regularity of associated graded modules in dimension one ⋮ Maximal Hilbert functions ⋮ Hilbert–Samuel multiplicity and Northcott’s inequality relative to an Artinian module ⋮ A note on Castelnuovo–Mumford regularity and Hilbert coefficients ⋮ On the first normalized Hilbert coefficient

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