3 papers
math.CO2025
MAT-Freeness is not combinatorial
Torsten Hoge, Gerhard Roehrle
We show that the notion of MAT-freeness for hyperplane arrangements depends on the underlying field. In particular, MAT-freeness is not combinatorial.
math.CO2025
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…
math.RT2025
Invariants in the cohomology of the complement of quaternionic reflection arrangements
Lorenzo Giordani, Gerhard Roehrle, Johannes Schmitt
Let be a hyperplane arrangement in a vector space and a group fixing . In case when is a complex reflection group and $\mathcal A=\m…