Gorenstein Hilbert Coefficients

Sabine El Khoury; Hema Srinivasan

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arXiv · 1201.5575

Gorenstein Hilbert Coefficients

Sabine El Khoury·Hema Srinivasan

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Abstract

We prove upper and lower bounds for all the coefficients in the Hilbert Polynomial of a graded Gorenstein algebra $S=R/I$ with a quasi-pure resolution over $R$. The bounds are in terms of the minimal and the maximal shifts in the resolution of $R$ . These bounds are analogous to the bounds for the multiplicity found in \cite{S} and are stronger than the bounds for the Cohen Macaulay algebras found in \cite{HZ}.

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Sabine El Khoury, Hema Srinivasan. 2012-02-06. Gorenstein Hilbert Coefficients. https://arxiv.org/abs/1201.5575

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