Hilbert coefficients of parameter ideals

DOI10.1216/JCA-2013-5-3-399zbMath1302.13017arXiv1111.4186OpenAlexW2964325097MaRDI QIDQ393099

Lori McCune

Publication date: 16 January 2014

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

Full work available at URL: https://arxiv.org/abs/1111.4186

zbMATH Keywords

Hilbert functionsystem of parametersHilbert coefficientsHilbert-Samuel polynomialNoetherian local rings

Mathematics Subject Classification ID

Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40)

Related Items (8)

On Hilbert coefficients of parameter ideals and Cohen-Macaulayness ⋮ Sectional genera of parameter ideals ⋮ Ratliff-Rush filtration, Hilbert coefficients and reduction number of integrally closed ideals ⋮ Bounding Hilbert coefficients of parameter ideals ⋮ Hilbert coefficients and the depth of associated graded rings with respect to parameter ideals ⋮ The second Hilbert coefficient of modules with almost maximal depth ⋮ Bounds for Hilbert coefficients ⋮ Castelnuovo-Mumford regularity and Hilbert coefficients of parameter ideals

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