dd-sequences and partial Euler-Poincare' characteristics of Koszul complex

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The aim of this paper is to introduce a new notion of sequences called dd-sequences and show that this notion may be convenient for studying the polynomial property of partial Euler-Poincare' characteristics of the Koszul complex with respect to the powers of a system of parameters. Some results about the dd-sequences, the partial Euler-Poincare' characteristics and the lengths of local cohomology modules are presented in the paper. There are also applications of dd-sequences on the structure of sequentially Cohen-Macaulay modules.
26 pages

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Commutative Algebra, 13D99, 13D45, 13H15

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http://salesiana.dossiersoluciones.com/handle/123456789/75738

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0507200
 http://arxiv.org/abs/math/0507200

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arXiv