Arithmetic degree and associated graded modules

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dc.creatorVinai, Natale Paolo
dc.date2004-02-27
dc.date.accessioned2026-07-07T05:05:47Z
dc.date.available2026-07-07T05:05:47Z
dc.descriptionWe prove that the arithmetic degree of a graded or local ring is bounded above by the arithmetic degree of any of its associated graded rings with respect to ideals $I$ in $A$. In particular, if $Spec (A)$ is equidimensional and has an embedded component in dimension $i$, then the normal cone of $Spec (A)$ along $V(I)$ has an embedded component in dimension $i$ too.
dc.description13 pages
dc.identifierhttps://arxiv.org/abs/math/0402455
dc.identifierhttp://arxiv.org/abs/math/0402455
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/70301
dc.subjectCommutative Algebra
dc.subjectAlgebraic Geometry
dc.subject13H15; 13A30
dc.titleArithmetic degree and associated graded modules
dc.typetext

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