Arrangements of ideal type are inductively free

2017/11/23 by Cuntz, Michael, Roehrle, Gerhard, Schauenburg, Anne
#14N20 #20F55 #52B30 #52C35 #Combinatorics (math.CO) #FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.1711.09760

Abstract

Extending earlier work by Sommers and Tymoczko, in 2016 Abe, Barakat, Cuntz, Hoge, and Terao established that each arrangement of ideal type A_I stemming from an ideal I in the set of positive roots of a reduced root system is free. Recently, Röhrle showed that a large class of the A_I satisfy the stronger property of inductive freeness and conjectured that this property holds for all A_I. In this article, we confirm this conjecture.

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