Séminaire Lotharingien de Combinatoire, B77e (2018), 8 pp.
Gerhard Röhrle
Divisionally free Restrictions of Reflection Arrangements
Abstract.
We study some aspects of
divisionally free arrangements
which were recently introduced by Abe.
Crucially,
Terao's conjecture on the combinatorial
nature of freeness holds within this class.
We show that while it is compatible with
products, surprisingly, it is
not closed under taking localizations.
In addition, we determine all
divisionally free restrictions
of all reflection arrangements.
Received: October 7, 2016.
Accepted: August 28, 2017.
Final Version: August 31, 2017.
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