Ziegler's Multi-Reflection Arrangements are free
Group Theory
2014-06-30 v2 Commutative Algebra
Combinatorics
Abstract
In 1989, Ziegler introduced the concept of a multi-arrangement. One natural example is the reflection arrangement of a unitary reflection group with multiplicity given by the number of reflections associated with each hyperplane. For all but three irreducible groups, Ziegler showed that each such multi-reflection arrangement is free. We complete Ziegler's example by confirming these outstanding cases.
Keywords
Cite
@article{arxiv.1403.4725,
title = {Ziegler's Multi-Reflection Arrangements are free},
author = {Torsten Hoge and Gerhard Roehrle},
journal= {arXiv preprint arXiv:1403.4725},
year = {2014}
}
Comments
5 pages, final version, to appear in Exp. Math