Lefschetz elements of Artinian Gorenstein algebras and Hessians of homogeneous polynomials

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.

References in corpus (1)

• The strong Lefschetz property of the coinvariant ring of the Coxeter group of type H4

Cited by in corpus (1)

• A Hodge index for Grothendieck residue pairing