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.
Citation
Toshiaki Maeno. Junzo Watanabe. "Lefschetz elements of Artinian Gorenstein algebras and Hessians of homogeneous polynomials." Illinois J. Math. 53 (2) 591 - 603, Summer 2009. https://doi.org/10.1215/ijm/1266934795
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