Lefschetz elements of Artinian Gorenstein algebras and Hessians of homogeneous polynomials

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Maeno, Toshiaki
Watanabe, Junzo
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Abstract
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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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Mathematics - Commutative Algebra, 13E10, 13H10
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