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arXiv · 1211.1316

Bounds for the Multiplicity of Gorenstein algebras

Sabine El Khoury·Manoj Kummini·Hema Srinivasan
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Abstract

We prove upper bounds for the Hilbert-Samuel multiplicity of standard graded Gorenstein algebras. The main tool that we use is Boij-Söderberg 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)].

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Sabine El Khoury, Manoj Kummini, Hema Srinivasan. 2012-11-06. Bounds for the Multiplicity of Gorenstein algebras. https://arxiv.org/abs/1211.1316

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