Depth of associated graded rings via Hilbert coefficients of ideals

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dc.creatorCorso, Alberto
dc.creatorPolini, Claudia
dc.creatorRossi, Maria Evelina
dc.date2003-04-08
dc.date.accessioned2026-07-07T04:56:43Z
dc.date.available2026-07-07T04:56:43Z
dc.descriptionGiven 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 $I$.
dc.description17 pages. J. Pure and Applied Algebra, to appear
dc.identifierhttps://arxiv.org/abs/math/0304111
dc.identifierhttp://arxiv.org/abs/math/0304111
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/67021
dc.subjectCommutative Algebra
dc.subject13A30, 13B21, 13D40
dc.titleDepth of associated graded rings via Hilbert coefficients of ideals
dc.typetext

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