Torsten Hoge

collaborators

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

Inductive Freeness of Ziegler's Canonical Multiderivations

Torsten Hoge, Gerhard Roehrle

Let $A$ be a free hyperplane arrangement. In 1989, Ziegler showed that the restriction $A^{''}$ of $A$ to any hyperplane endowed with the natural multiplici…

math.CO2025

Inductive Freeness of Ziegler's Canonical Multiderivations for Restrictions of Reflection Arrangements

Torsten Hoge, Gerhard Roehrle, Sven Wiesner

Let $A$ be a free hyperplane arrangement. In 1989, Ziegler showed that the restriction $A "$ of $A$ to any hyperplane endowed with the natural multiplicit…