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Lefschetz Properties and Hyperplane Arrangements

Published 11 Nov 2019 in math.CO, math.AC, and math.AG | (1911.04083v2)

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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