Gorenstein Hilbert Coefficients

Details Gorenstein Hilbert Coefficients Gorenstein Hilbert Coefficients

2012-01-26

arxiv.org/abs/1201.5575v3

Mathematics

Commutative Algebra

20 pages

Scientific paper

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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