On inductively free Restrictions of Reflection Arrangements

2013/10/07 by Amend, Nils, Hoge, Torsten, Roehrle, Gerhard
#13N15 #14N20 #20F55 #52C35 #Combinatorics (math.CO) #FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.1310.1708

Abstract

Let W be a finite complex reflection group acting on the complex vector space V and let A(W) = (A(W), V) be the associated reflection arrangement. In an earlier paper by the last two authros, we classified all inductively free reflection arrangements A(W). The aim of this note is to extend this work by determining all inductively free restrictions of reflection arrangements.

Related

• On inductively free reflection arrangements
• Reflection arrangements are hereditarily free
• Inductive Freeness of Ziegler's Canonical Multiderivations for Reflection Arrangements
• Supersolvable restrictions of reflection arrangements
• Freeness of multi-reflection arrangements via primitive vector fields