Arithmetic degree and associated graded modules

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We 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.
13 pages

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Commutative Algebra, Algebraic Geometry, 13H15; 13A30

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http://salesiana.dossiersoluciones.com/handle/123456789/70301

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0402455
 http://arxiv.org/abs/math/0402455

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arXiv