Freeness and multirestriction of hyperplane arrangements
Algebraic Geometry
2019-02-20 v2 Commutative Algebra
Combinatorics
Abstract
Generalizing a result of Yoshinaga in dimension 3, we show that a central hyperplane arrangement in 4-space is free exactly if its restriction with multiplicities to a fixed hyperplane of the arrangement is free and its reduced characteristic polynomial equals the characteristic polynomial of this restriction. We show that the same statement holds true in any dimension when imposing certain tameness hypotheses.
Keywords
Cite
@article{arxiv.1003.0917,
title = {Freeness and multirestriction of hyperplane arrangements},
author = {Mathias Schulze},
journal= {arXiv preprint arXiv:1003.0917},
year = {2019}
}
Comments
8 pages