Details
| Original language | English |
|---|---|
| Article number | P1.28 |
| Journal | Electronic Journal of Combinatorics |
| Volume | 27 |
| Issue number | 1 |
| Publication status | Published - 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 subject areas
- Mathematics(all)
- Theoretical Computer Science
- Mathematics(all)
- Geometry and Topology
- Mathematics(all)
- Discrete Mathematics and Combinatorics
- Computer Science(all)
- Computational Theory and Mathematics
- Mathematics(all)
- Applied Mathematics
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In: Electronic Journal of Combinatorics, Vol. 27, No. 1, P1.28, 24.01.2020.
Research output: Contribution to journal › Article › Research › 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 -