MAT-free reflection arrangements

verfasst von

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.

Organisationseinheit(en)

Institut für Algebra, Zahlentheorie und Diskrete Mathematik

Externe Organisation(en)

Ruhr-Universität Bochum

Typ

Artikel

Journal

Electronic Journal of Combinatorics

Band

27

ISSN

1077-8926

Publikationsdatum

24.01.2020

Publikationsstatus

Veröffentlicht

Peer-reviewed

Ja

ASJC Scopus Sachgebiete

Theoretische Informatik, Geometrie und Topologie, Diskrete Mathematik und Kombinatorik, Theoretische Informatik und Mathematik, Angewandte Mathematik

Elektronische Version(en)

https://doi.org/10.37236/8820 (Zugang: Offen)