Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Arrangements of ideal type are inductively free   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.

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The categories of this paper are: gr-qc
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The categories of this paper are: supr-con
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The categories of this paper are: dg-ga
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The categories of this paper are: cs
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The categories of this paper are: patt-sol
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The categories of this paper are: econ
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The categories of this paper are: stat
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The categories of this paper are: quant-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: comp-gas
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The categories of this paper are: adap-org
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The categories of this paper are: nucl-th
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The categories of this paper are: ao-sci
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The categories of this paper are: cond-mat
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The categories of this paper are: atom-ph
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The categories of this paper are: hep-th