Torsten Hoge

activity

20112025

most citedThe freeness of ideal subarrangements of Weyl arrangements

47 citations · 51 across the 11 of their papers we have counts for

collaborators

18 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.CO2022

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…

math.CO2022

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.CO2019

Some remarks on free arrangements

Torsten Hoge, Gerhard Roehrle

We exhibit a particular free subarrangement of a certain restriction of the Weyl arrangement of type $E_{7}$ and use it to give an affirmative answer to a recent conjecture by T.~Abe…

math.CO2017

Inductive Freeness of Ziegler's Canonical Multiderivations for Reflection Arrangements

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 multiplicity is then a free multiarra…

math.GR2017

Freeness of multi-reflection arrangements via primitive vector fields

Torsten Hoge, Toshiyuki Mano, Gerhard Roehrle +1

In 2002, Terao showed that every reflection multi-arrangement of a real reflection group with constant multiplicity is free by providing a basis of the module of derivations. We fi…