abstracts[] |
{'sha1': '5670df62d68846e7cd8e16f5a4159cd7648c67ec', 'content': 'Extending earlier work by Sommers and Tymoczko, in 2016 Abe, Barakat, Cuntz,\nHoge, and Terao established that each arrangement of ideal type\nA_I stemming from an ideal I in the set of\npositive roots of a reduced root system is free. Recently, Röhrle showed that\na large class of the A_I satisfy the stronger property of\ninductive freeness and conjectured that this property holds for all\nA_I. In this article, we confirm this conjecture.', 'mimetype': 'text/plain', 'lang': 'en'}
{'sha1': '52ad8703db26286836a7405bfaf3b213cbe100bf', 'content': 'Extending earlier work by Sommers and Tymoczko, in 2016 Abe, Barakat, Cuntz,\nHoge, and Terao established that each arrangement of ideal type\n$\\mathcal{A}_\\mathcal{I}$ stemming from an ideal $\\mathcal{I}$ in the set of\npositive roots of a reduced root system is free. Recently, R\\"ohrle showed that\na large class of the $\\mathcal{A}_\\mathcal{I}$ satisfy the stronger property of\ninductive freeness and conjectured that this property holds for all\n$\\mathcal{A}_\\mathcal{I}$. In this article, we confirm this conjecture.', 'mimetype': 'application/x-latex', 'lang': 'en'}
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contribs[] |
{'index': 0, 'creator_id': None, 'creator': None, 'raw_name': 'Michael Cuntz', 'given_name': None, 'surname': None, 'role': 'author', 'raw_affiliation': None, 'extra': None}
{'index': 1, 'creator_id': None, 'creator': None, 'raw_name': 'Gerhard Roehrle', 'given_name': None, 'surname': None, 'role': 'author', 'raw_affiliation': None, 'extra': None}
{'index': 2, 'creator_id': None, 'creator': None, 'raw_name': 'Anne Schauenburg', 'given_name': None, 'surname': None, 'role': 'author', 'raw_affiliation': None, 'extra': None}
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ext_ids |
{'doi': None, 'wikidata_qid': None, 'isbn13': None, 'pmid': None, 'pmcid': None, 'core': None, 'arxiv': '1711.09760v2', 'jstor': None, 'ark': None, 'mag': None, 'doaj': None, 'dblp': None, 'oai': None, 'hdl': None}
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[]
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issue |
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language |
en
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license_slug |
ARXIV-1.0
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number |
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original_title |
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pages |
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publisher |
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refs |
[]
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release_date |
2019-01-31
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release_stage |
submitted
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release_type |
article
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release_year |
2019
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subtitle |
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title |
Arrangements of ideal type are inductively free
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version |
v2
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volume |
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webcaptures |
[]
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withdrawn_status |
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work_id |
wf7v3l7bt5g5doykhabid3xcwu
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