{"paper":{"title":"Arrangements of ideal type are inductively free","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GR"],"primary_cat":"math.CO","authors_text":"Anne Schauenburg, Gerhard Roehrle, Michael Cuntz","submitted_at":"2017-11-23T12:28:02Z","abstract_excerpt":"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."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.09760","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}