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arXiv · 1206.5879

Hilbert coefficients and sequentially Cohen-Macaulay modules

Nguyen Tu Cuong·Shiro Goto·Hoang Le Truong
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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.

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Nguyen Tu Cuong, Shiro Goto, Hoang Le Truong. 2012-06-27. Hilbert coefficients and sequentially Cohen-Macaulay modules. https://arxiv.org/abs/1206.5879

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