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Toshiaki Maeno

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

    Ср, 09/09/2009 - 22:08 — SomNambul
    Authors: Toshiaki Maeno, Junzo Watanabe
    Subjects: Commutative Algebra
    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.

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

    Ср, 09/09/2009 - 22:08 — SomNambul
    Authors: Toshiaki Maeno, Junzo Watanabe
    Subjects: Commutative Algebra
    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.

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