English

Jumping numbers of hyperplane arrangements

Algebraic Geometry 2008-09-19 v3

Abstract

M. Saito recently proved that the jumping numbers of a hyperplane arrangement depend only on the combinatorics of the arrangement. However, a formula in terms of the combinatorial data was still missing. In this note, we give a formula and a different proof of the fact that the jumping numbers of a hyperplane arrangement depend only on the combinatorics. We also give a combinatorial formula for part of the Hodge spectrum and for the inner jumping multiplicities.

Keywords

Cite

@article{arxiv.0802.0878,
  title  = {Jumping numbers of hyperplane arrangements},
  author = {Nero Budur},
  journal= {arXiv preprint arXiv:0802.0878},
  year   = {2008}
}

Comments

example added

R2 v1 2026-06-21T10:10:13.573Z