dd-sequences and partial Euler-Poincare' characteristics of Koszul complex
Commutative Algebra
2007-05-23 v1
Abstract
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.
Cite
@article{arxiv.math/0507200,
title = {dd-sequences and partial Euler-Poincare' characteristics of Koszul complex},
author = {Nguyen Tu Cuong and Doan Trung Cuong},
journal= {arXiv preprint arXiv:math/0507200},
year = {2007}
}
Comments
26 pages