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

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dc.creatorAberbach, Ian
dc.creatorGhezzi, Laura
dc.creatorHa, Huy Tai
dc.date2002-12-09
dc.date.accessioned2026-07-07T04:53:39Z
dc.date.available2026-07-07T04:53:39Z
dc.descriptionLet 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.
dc.description13 pages
dc.identifierhttps://arxiv.org/abs/math/0212130
dc.identifierhttp://arxiv.org/abs/math/0212130
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/65936
dc.subjectCommutative Algebra
dc.subjectAlgebraic Geometry
dc.subject13A30; 13C15; 14J26
dc.titleThe depth of the associated graded ring of ideals with any reduction number
dc.typetext

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