6 papers
On connected subgraph arrangements
Lorenzo Giordani, Tilman Möller, Paul Mücksch +1
Recently, Cuntz and Kühne introduced a particular class of hyperplane arrangements stemming from a given graph , so called connected subgraph arrangements . In this note w…
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…
Hyperpolygonal arrangements
Lorenzo Giordani, Paul Mücksch, Gerhard Roehrle +1
In 2024, Bellamy, Craw, Rayan, Schedler, and Weiss introduced a particular family of real hyperplane arrangements stemming from hyperpolygonal spaces associated with certain quiver…
-complete reducibility and saturation
Michael Bate, Sören Böhm, Alastair Litterick +2
Let be connected reductive linear algebraic groups defined over an algebraically closed field of characteristic . In our first main theorem we show that if a…
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…
On good subgroups, Springer maps, and overgroups of distinguished unipotent elements in reductive groups
Michael Bate, Sören Böhm, Benjamin Martin +1
Suppose is a simple algebraic group defined over an algebraically closed field of good characteristic . In 2018 Korhonen showed that if is a connected reductive subgroup…