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.
@article{10_37236_8820,
author = {Michael Cuntz and Paul M\"ucksch},
title = {MAT-free reflection arrangements},
journal = {The electronic journal of combinatorics},
year = {2020},
volume = {27},
number = {1},
doi = {10.37236/8820},
zbl = {1432.52035},
url = {http://geodesic.mathdoc.fr/articles/10.37236/8820/}
}
TY - JOUR
AU - Michael Cuntz
AU - Paul Mücksch
TI - MAT-free reflection arrangements
JO - The electronic journal of combinatorics
PY - 2020
VL - 27
IS - 1
UR - http://geodesic.mathdoc.fr/articles/10.37236/8820/
DO - 10.37236/8820
ID - 10_37236_8820
ER -
%0 Journal Article
%A Michael Cuntz
%A Paul Mücksch
%T MAT-free reflection arrangements
%J The electronic journal of combinatorics
%D 2020
%V 27
%N 1
%U http://geodesic.mathdoc.fr/articles/10.37236/8820/
%R 10.37236/8820
%F 10_37236_8820
Michael Cuntz; Paul Mücksch. MAT-free reflection arrangements. The electronic journal of combinatorics, Tome 27 (2020) no. 1. doi: 10.37236/8820
