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math.GR2014
Ziegler's Multi-Reflection Arrangements are free
Torsten Hoge, Gerhard Roehrle
In 1989, Ziegler introduced the concept of a multi-arrangement. One natural example is the reflection arrangement of a unitary reflection group with multiplicity given by the numbe…
math.CO2014
Addition-Deletion Theorems for Factorizations of Orlik-Solomon Algebras and nice Arrangements
Torsten Hoge, Gerhard Roehrle
We study the notion of a nice partition or factorization of a hyperplane arrangement due to Terao from the early 1990s. The principal aim of this note is an analogue of Terao's cel…