Depth of associated graded rings via Hilbert coefficients of ideals

Details Depth of associated graded rings via Hilbert coefficients of ideals Depth of associated graded rings via Hilbert coefficients of ideals

2003-04-08

arxiv.org/abs/math/0304111v1

Mathematics

Commutative Algebra

17 pages. J. Pure and Applied Algebra, to appear

Scientific paper

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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