5 papers
Boolean building set arrangements
Leonie Mühlherr, Sven Wiesner
In this article, we generalize the notion of connected subgraph arrangements, established by Cuntz and Kühne by allowing edges of cardinality greater than two, with a focus on loca…
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 arrangemen…
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…
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 …
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…