English

Lefschetz Properties and Hyperplane Arrangements

Combinatorics 2020-04-03 v2 Commutative Algebra Algebraic Geometry

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.

Keywords

Cite

@article{arxiv.1911.04083,
  title  = {Lefschetz Properties and Hyperplane Arrangements},
  author = {Elisa Palezzato and Michele Torielli},
  journal= {arXiv preprint arXiv:1911.04083},
  year   = {2020}
}

Comments

To appear in the Journal of Algebra

R2 v1 2026-06-23T12:11:09.239Z