Bounds for the Multiplicity of Gorenstein algebras
Commutative Algebra
2012-11-07 v1
Abstract
We prove upper bounds for the Hilbert-Samuel multiplicity of standard graded Gorenstein algebras. The main tool that we use is Boij-S\"oderberg theory to obtain a decomposition of the Betti table of a Gorenstein algebra as the sum of rational multiples of symmetrized pure tables. Our bound agrees with the one in the quasi-pure case obtained by Srinivasan [J. Algebra, vol.~208, no.~2, (1998)].
Keywords
Cite
@article{arxiv.1211.1316,
title = {Bounds for the Multiplicity of Gorenstein algebras},
author = {Sabine El Khoury and Manoj Kummini and Hema Srinivasan},
journal= {arXiv preprint arXiv:1211.1316},
year = {2012}
}