Arrangements of ideal type are inductively free
Combinatorics
2019-02-01 v2 Group Theory
Abstract
Extending earlier work by Sommers and Tymoczko, in 2016 Abe, Barakat, Cuntz, Hoge, and Terao established that each arrangement of ideal type stemming from an ideal in the set of positive roots of a reduced root system is free. Recently, R\"ohrle showed that a large class of the satisfy the stronger property of inductive freeness and conjectured that this property holds for all . In this article, we confirm this conjecture.
Keywords
Cite
@article{arxiv.1711.09760,
title = {Arrangements of ideal type are inductively free},
author = {Michael Cuntz and Gerhard Roehrle and Anne Schauenburg},
journal= {arXiv preprint arXiv:1711.09760},
year = {2019}
}
Comments
10 pages. arXiv admin note: text overlap with arXiv:1606.00617