English

The Jacobian ideal of a hyperplane arrangement

Commutative Algebra 2007-07-19 v1 Algebraic Geometry

Abstract

The Jacobian ideal of a hyperplane arrangement is an ideal in the polynomial ring whose generators are the partial derivatives of the arrangements defining polynomial. In this article, we prove that an arrangement can be reconstructed from its Jacobian ideal.

Keywords

Cite

@article{arxiv.0707.2672,
  title  = {The Jacobian ideal of a hyperplane arrangement},
  author = {Max Wakefield and Masahiko Yoshinaga},
  journal= {arXiv preprint arXiv:0707.2672},
  year   = {2007}
}

Comments

5 pages

R2 v1 2026-06-21T08:59:22.214Z