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Lefschetz elements of Artinian Gorenstein algebras and Hessians of homogeneous polynomials.

Wed, 09/09/2009 - 22:08 — SomNambul
Authors: Toshiaki Maeno, Junzo Watanabe
Subjects: Commutative Algebra
link: http://arxiv.org/abs/0903.3581
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.