Gorenstein Hilbert Coefficients

Sabine El Khoury; Hema Srinivasan

Gorenstein Hilbert Coefficients

Commutative Algebra 2012-02-08 v3

Authors: Sabine El Khoury , Hema Srinivasan

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}.

Keywords

hilbert functions upper bounds bound

Cite

@article{arxiv.1201.5575,
  title  = {Gorenstein Hilbert Coefficients},
  author = {Sabine El Khoury and Hema Srinivasan},
  journal= {arXiv preprint arXiv:1201.5575},
  year   = {2012}
}

Comments

20 pages

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