Let (R, m) be a Cohen-Macaulay local ring with maximal ideal m and positive dimension d. Let us assume R has infinite residue field and let I be an m−primary ideal of R. By grI (R) we denote the associated graded ring of I and by depth grI (R) we mean depth (grI (R))M , where M is the maximal homogeneous ideal of grI (R). In this paper we individuate some conditions on I that allow us to determine the value of depth grI (R).
On the depth of the associated graded ring of an $m$-primary ideal of a Cohen-Macaulay local ring
GUERRIERI, ANNA
1994-01-01
Abstract
Let (R, m) be a Cohen-Macaulay local ring with maximal ideal m and positive dimension d. Let us assume R has infinite residue field and let I be an m−primary ideal of R. By grI (R) we denote the associated graded ring of I and by depth grI (R) we mean depth (grI (R))M , where M is the maximal homogeneous ideal of grI (R). In this paper we individuate some conditions on I that allow us to determine the value of depth grI (R).File in questo prodotto:
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