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arXiv · 1405.4798

The second Hilbert coefficients and the homological torsions of parameters

Shiro Goto·Kazuho Ozeki
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Abstract

Let $M$ be a finitely generated module over a Noetherian local ring. This paper gives, for a given parameter ideal $Q$ for $M$, bounds for the second Hilbert coefficients ${\mathrm{e}}_Q^2(M)$ in terms of the homological degrees and torsions of modules. We also report a criterion for a certain equality of the second Hilbert coefficients of parameters and the homological torsions of modules.

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Shiro Goto, Kazuho Ozeki. 2014-04-23. The second Hilbert coefficients and the homological torsions of parameters. https://arxiv.org/abs/1405.4798

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