Hilbert coefficients and sequentially Cohen-Macaulay modules
Commutative Algebra
2012-06-28 v2
Abstract
The purpose of this paper is to present a characterization of sequentially Cohen-Macaulay modules in terms of its Hilbert coefficients with respect to distinguished parameter ideals. The formulas involve arithmetic degrees. Among corollaries of the main result we obtain a short proof of Vasconcelos Vanishing Conjecture for modules and an upper bound for the first Hilbert coefficient.
Cite
@article{arxiv.1206.5879,
title = {Hilbert coefficients and sequentially Cohen-Macaulay modules},
author = {Nguyen Tu Cuong and Shiro Goto and Hoang Le Truong},
journal= {arXiv preprint arXiv:1206.5879},
year = {2012}
}
Comments
18 pages, To appear in JPAA