The depth of the associated graded ring of ideals with any reduction number

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The depth of the associated graded ring of ideals with any reduction number

Please use this identifier to cite or link to this item: http://hdl.handle.net/10355/10598

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Title: The depth of the associated graded ring of ideals with any reduction number
Author: Aberbach, Ian M.; Ghezzi, Laura; Ha, Huy Tai
Keywords: Rees algebra
Date: 2002-12-09
Abstract: Let R be a local Cohen-Macaulay ring, let I be an R-ideal, and let G be the associated graded ring of I. We give an estimate for the depth of G when G is not necessarily Cohen-Macaulay. We assume that I is either equimultiple, or has analytic deviation one, but we do not have any restriction on the reduction number. We also give a general estimate for the depth of G involving the first r+ℓ powers of I, where r denotes the Castelnuovo regularity of G and ℓ denotes the analytic spread of I.
URI: http://hdl.handle.net/10355/10598

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