Gorenstein Hilbert Coefficients

2012/01/26 by Khoury, Sabine El, Srinivasan, Hema
#Commutative Algebra (math.AC) #FOS: Mathematics

paper · doi:10.48550/arxiv.1201.5575

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 \citeS and are stronger than the bounds for the Cohen Macaulay algebras found in \citeHZ.

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