Dependence of Hilbert coefficients

Abstract

Let $M$ be a finitely generated module of dimension $d$ and depth $t$ over a Noetherian local ring ($A,\mathfrak{m}$) and $I$ an $\mathfrak{m}$-primary ideal. In the main result it is shown that the last $t$ Hilbert coefficients $e_{d-t+1}(I,M),...,e_d(I,M)$ are bounded below and above in terms of the first $d-t+1$ Hilbert coefficients $e_0(I,M),...,e_{d-t}(I,M)$ and $d$.

This is a corrected version of the original paper published in manuscripta math. 149, 235 - 249 (2016). In this version we include a Corrigendum and give a small modification of the proof of Theorem 2.4

Cited by in corpus (1)

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