Divisionally free Restrictions of Reflection Arrangements
Combinatorics
2017-09-04 v2 Group Theory
Abstract
We study some aspects of divisionally free arrangements which were recently introduced by Abe. Crucially, Terao's conjecture on the combinatorial nature of freeness holds within this class. We show that while it is compatible with products, surprisingly, it is not closed under taking localizations. In addition, we determine all divisionally free restrictions of all reflection arrangements.
Keywords
Cite
@article{arxiv.1510.00213,
title = {Divisionally free Restrictions of Reflection Arrangements},
author = {Gerhard Roehrle},
journal= {arXiv preprint arXiv:1510.00213},
year = {2017}
}
Comments
8 pages; v2 small changes; final version