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arXiv · 0903.3581

Lefschetz elements of Artinian Gorenstein algebras and Hessians of homogeneous polynomials

Toshiaki Maeno·Junzo Watanabe
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Abstract

We give a characterization of the Lefschetz elements in Artinian Gorenstein rings over a field of characteristic zero in terms of the higher Hessians. As an application, we give new examples of Artinian Gorenstein rings which do not have the strong Lefschetz property.

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Toshiaki Maeno, Junzo Watanabe. 2009-12-21. Lefschetz elements of Artinian Gorenstein algebras and Hessians of homogeneous polynomials. https://arxiv.org/abs/0903.3581

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