Given a local Cohen–Macaulay ring (R,m), we study the interplay between the integral closedness, or even the normality, of an 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 .
Depth of associated graded rings via Hilbert coefficients of ideals
ROSSI, MARIA EVELINA
2005-01-01
Abstract
Given a local Cohen–Macaulay ring (R,m), we study the interplay between the integral closedness, or even the normality, of an 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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