Hilbert coefficients and depths of form rings

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We present short and elementary proofs of two theorems of Huckaba and Marley, while generalizing them at the same time to the case of a module. The theorems concern a characterization of the depth of the associated graded ring of a Cohen-Macaulay module, with respect to a Hilbert filtration, in terms of the Hilbert coefficient e_1. As an application, we derive bounds on the higher Hilbert coefficient e_i in terms of e_0.
7 pages; This is a slightly modified version of the previously uploaded file

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Commutative Algebra, 13H10, 13H15

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http://salesiana.dossiersoluciones.com/handle/123456789/64359

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0206221
 http://arxiv.org/abs/math/0206221

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arXiv