Details
| Originalsprache | Englisch |
|---|---|
| Aufsatznummer | P1.28 |
| Fachzeitschrift | Electronic Journal of Combinatorics |
| Jahrgang | 27 |
| Ausgabenummer | 1 |
| Publikationsstatus | Veröffentlicht - 24 Jan. 2020 |
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.
ASJC Scopus Sachgebiete
- Mathematik (insg.)
- Theoretische Informatik
- Mathematik (insg.)
- Geometrie und Topologie
- Mathematik (insg.)
- Diskrete Mathematik und Kombinatorik
- Informatik (insg.)
- Theoretische Informatik und Mathematik
- Mathematik (insg.)
- Angewandte Mathematik
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in: Electronic Journal of Combinatorics, Jahrgang 27, Nr. 1, P1.28, 24.01.2020.
Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review
}
TY - JOUR
T1 - MAT-free reflection arrangements
AU - Cuntz, Michael
AU - Mücksch, Paul
PY - 2020/1/24
Y1 - 2020/1/24
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85078661489&partnerID=8YFLogxK
U2 - 10.37236/8820
DO - 10.37236/8820
M3 - Article
AN - SCOPUS:85078661489
VL - 27
JO - Electronic Journal of Combinatorics
JF - Electronic Journal of Combinatorics
SN - 1077-8926
IS - 1
M1 - P1.28
ER -