Arrangements of ideal type are inductively free
Abstract
Extending earlier work by Sommers and Tymoczko, in 2016 Abe, Barakat, Cuntz, Hoge, and Terao established that each arrangement of ideal type AI stemming from an ideal I in the set of positive roots of a reduced root system is free. Recently, R\"ohrle showed that a large class of the AI satisfy the stronger property of inductive freeness and conjectured that this property holds for all AI. In this article, we confirm this conjecture.
0
Turn this paper into a lesson
ArcXiv compiles a structured reading guide from this paper's metadata: plain-English importance, contributions, prerequisite concepts, which sections to read first, flashcards, and a quiz. Grounded in the abstract, never invented.