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arXiv · 1912.04866

The weak Lefschetz property for Artinian Gorenstein algebras of codimension three

Rosa Maria Miró-Roig·Quang Hoa Tran
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Abstract

We study the weak Lefschetz property of a class of graded Artinian Gorenstein algebras of codimension three associated in a natural way to the Ap\'ery set of a numerical semigroup generated by four natural numbers. We show that these algebras have the weak Lefschetz property whenever the initial degree of their defining ideal is small.

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Rosa Maria Miró-Roig, Quang Hoa Tran. 2019-12-10. The weak Lefschetz property for Artinian Gorenstein algebras of codimension three. https://doi.org/10.1016/j.jpaa.2020.106305

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