English

Free Arrangements over Finite Field

Combinatorics 2011-11-09 v1

Abstract

The freeness of hyperplane arrangements in a three dimensional vector space over finite field is discussed. We prove that if the number of hyperplanes is greater than some bound, then the freeness is determined by the characteristic polynomial.

Keywords

Cite

@article{arxiv.math/0606005,
  title  = {Free Arrangements over Finite Field},
  author = {Masahiko Yoshinaga},
  journal= {arXiv preprint arXiv:math/0606005},
  year   = {2011}
}

Comments

8 pages

R2 v1 2026-07-22T17:36:47.568Z