Depth of associated graded rings via Hilbert coefficients of ideals

Alberto Corso; Claudia Polini; Maria Evelina Rossi

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Depth of associated graded rings via Hilbert coefficients of ideals

Alberto Corso·Claudia Polini·Maria Evelina Rossi

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Abstract

Given a local Cohen-Macaulay ring $(R, {\mathfrak m})$, we study the interplay between the integral closedness -- or even the normality -- of an ${\mathfrak m}$-primary $R$-ideal $I$ and conditions on the Hilbert coefficients of $I$. We relate these properties to the depth of the associated graded ring of $I$.

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Alberto Corso, Claudia Polini, Maria Evelina Rossi. 2003-04-08. Depth of associated graded rings via Hilbert coefficients of ideals. https://arxiv.org/abs/math/0304111

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