Lefschetz elements of Artinian Gorenstein algebras and Hessians of homogeneous polynomials

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

2009-03-20

arxiv.org/abs/0903.3581v3

Mathematics

Commutative Algebra

Scientific paper

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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