4 papers
On Universal derivations for multiarrangements
Takuro Abe, Shota Maehara, Gerhard Roehrle +1
The study of universal derivations for arbitrary multiarrangements and multiplicity functions was initiated by Abe, Röhrle, Stump, and Yoshinaga in 2024 which focused on arrangeme…
Free multiderivations of connected subgraph arrangements
Paul Mücksch, Gerhard Roehrle, Sven Wiesner
Cuntz and Kühne introduced the class of connected subgraph arrangements , depending on a graph , and classified all graphs such that the corresponding arrangement $A_G…
Extendability of the -arrangement
Torsten Hoge, Shota Maehara, Sven Wiesner
Let be a free multiarrangement, and let be an extension of . It is well known that if is the Coxeter arrangement of t…
Inductive Freeness of Ziegler's Canonical Multiderivations for Restrictions of Reflection Arrangements
Torsten Hoge, Gerhard Roehrle, Sven Wiesner
Let be a free hyperplane arrangement. In 1989, Ziegler showed that the restriction of to any hyperplane endowed with the natural multiplicit…