MAT-free reflection arrangements

authored by

Michael Cuntz, Paul Mücksch

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.

Organisation(s)

Institute of Algebra, Number Theory and Discrete Mathematics

External Organisation(s)

Ruhr-Universität Bochum

Type

Article

Journal

Electronic Journal of Combinatorics

Volume

27

ISSN

1077-8926

Publication date

24.01.2020

Publication status

Published

Peer reviewed

Yes

ASJC Scopus subject areas

Theoretical Computer Science, Geometry and Topology, Discrete Mathematics and Combinatorics, Computational Theory and Mathematics, Applied Mathematics

Electronic version(s)

https://doi.org/10.37236/8820 (Access: Open)