MAT-free Reflection Arrangements

Michael Cuntz, Paul Mücksch
2020 Electronic Journal of Combinatorics  
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
more » ... other classes of free arrangements.
doi:10.37236/8820 fatcat:he5l3letqnhivefprrf2ycohxm