MAT-free reflection arrangements
Combinatorics
2020-03-05 v1 Group Theory
Abstract
We introduce the class of MAT-free hyperplane arrangements which is based on the Multiple Addition Theorem by Abe, Barakat, Cuntz, Hoge, and Terao. We also investigate the closely related class of MAT2-free arrangements based on a recent generalization of the Multiple Addition Theorem by Abe and Terao. We give classifications of the irreducible complex reflection arrangements which are MAT-free respectively MAT2-free. Furthermore, we ask some questions concerning relations to other classes of free arrangements.
Keywords
Cite
@article{arxiv.1904.06171,
title = {MAT-free reflection arrangements},
author = {Michael Cuntz and Paul Mücksch},
journal= {arXiv preprint arXiv:1904.06171},
year = {2020}
}
Comments
17 pages