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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