9 citations · 39 across the 30 of their papers we have counts for
5 papers · 1 filter
Arrangements of ideal type are inductively free
Michael Cuntz, Gerhard Roehrle, Anne Schauenburg
Extending earlier work by Sommers and Tymoczko, in 2016 Abe, Barakat, Cuntz, Hoge, and Terao established that each arrangement of ideal type stemming from…
On the -problem for restrictions of complex reflection arrangements
Nils Amend, Pierre Deligne, Gerhard Roehrle
Let be a complex reflection group, and the set of the mirrors of the complex reflections in . It is known that the complement $X({\mathscr A}(…
Inductive Freeness of Ziegler's Canonical Multiderivations for Reflection Arrangements
Torsten Hoge, Gerhard Roehrle
Let be a free hyperplane arrangement. In 1989, Ziegler showed that the restriction of to any hyperplane endowed with the natural multiplicity is then a free multiarra…
On unipotent radicals of pseudo-reductive groups
Michael Bate, Benjamin Martin, Gerhard Roehrle +1
We establish some results on the structure of the geometric unipotent radicals of pseudo-reductive k-groups. In particular, our main theorem gives bounds on the nilpotency class of…
Freeness of multi-reflection arrangements via primitive vector fields
Torsten Hoge, Toshiyuki Mano, Gerhard Roehrle +1
In 2002, Terao showed that every reflection multi-arrangement of a real reflection group with constant multiplicity is free by providing a basis of the module of derivations. We fi…