English

Localization of plus-one generated arrangements

Combinatorics 2020-07-20 v2 Commutative Algebra

Abstract

We study the classes of free and plus-one generated hyperplane arrangements. Specifically, we describe how to compute the associated prime ideals of the Jacobian ideal of such an arrangement from its lattice of intersection. Moreover, we prove that the localization of a plus-one generated arrangement is free or plus-one generated.

Keywords

Cite

@article{arxiv.1908.11667,
  title  = {Localization of plus-one generated arrangements},
  author = {Elisa Palezzato and Michele Torielli},
  journal= {arXiv preprint arXiv:1908.11667},
  year   = {2020}
}

Comments

To appear in "Communications in Algebra"

R2 v1 2026-06-23T11:00:55.039Z