On the weak Lefschetz property for artinian Gorenstein algebras of codimension three
We study the problem of whether an arbitrary codimension three graded artinian Gorenstein algebra has the WeakLefschetz Property. We reduce this problem to checking whether it holds for all compressed Gorenstein algebras ofodd socle degree. In the first open case, namely Hilbertfunction (1, 3, 6, 6, 3, 1), we give a complete answer in every characteristic by translating the problem to one of studying geometric aspects of certain morphisms from P2 to P3, and Hesse configurations in P2.
Journal of Algebra
On the weak Lefschetz property for artinian Gorenstein algebras of codimension three.
Journal of Algebra,
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