Depth of associated graded rings via Hilbert coefficients of ideals
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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 $I$.
17 pages. J. Pure and Applied Algebra, to appear
17 pages. J. Pure and Applied Algebra, to appear