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arXiv · 1811.10749

Unique maximal Betti diagrams for Artinian Gorenstein $k$-algebras with the weak Lefschetz property

Benjamin Richert
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Abstract

We give an alternate proof for a theorem of Migliore and Nagel. In particular, we show that if $\mathcal H$ is an SI-sequence, then the collection of Betti diagrams for all Artinian Gorenstein $k$-algebras with the weak Lefschetz property and Hilbert function $\mathcal H$ has a unique largest element.

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Benjamin Richert. 2018-11-26. Unique maximal Betti diagrams for Artinian Gorenstein $k$-algebras with the weak Lefschetz property. https://arxiv.org/abs/1811.10749

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