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Arrangements of ideal type are inductively free. (arXiv:1711.09760v2 [math.CO] UPDATED)
来源于:arXiv
Extending earlier work by Sommers and Tymoczko, in 2016 Abe, Barakat, Cuntz,
Hoge, and Terao established that each arrangement of ideal type
$\mathcal{A}_\mathcal{I}$ stemming from an ideal $\mathcal{I}$ in the set of
positive roots of a reduced root system is free. Recently, R\"ohrle showed that
a large class of the $\mathcal{A}_\mathcal{I}$ satisfy the stronger property of
inductive freeness and conjectured that this property holds for all
$\mathcal{A}_\mathcal{I}$. In this article, we confirm this conjecture. 查看全文>>