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arXiv · 1911.04083

Lefschetz Properties and Hyperplane Arrangements

Elisa Palezzato·Michele Torielli
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Abstract

In this article, we study the weak and strong Lefschetz properties, and the related notion of almost revlex ideal, in the non-Artinian case, proving that several results known in the Artinian case hold also in this more general setting. We then apply the obtained results to the study of the Jacobian algebra of hyperplane arrangements.

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Elisa Palezzato, Michele Torielli. 2020-04-02. Lefschetz Properties and Hyperplane Arrangements. https://doi.org/10.1016/j.jalgebra.2020.02.039

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