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.

8 pages; v2 small changes; final version

Cited by in corpus (2)

• Recursively free reflection arrangements
• Accurate Arrangements