Arrangements of ideal type are inductively free release_cbgwbisjkfdp3cwbs6volfz76e

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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