On torsion freeness for the decomposable Orlik-Solomon algebra Article Swipe
We prove the torsion freeness of the decomposable Orlik--Solomon algebra of a simple matroid on ground set $[n]$. In the class of hypersolvable \& non-supersolvable complex hyperplane arrangements, the torsion freeness, in a certain degree, of this combinatorially defined object, associated to the intersection lattice of the arrangement, impacts on the first non-vanishing higher homotopy group of the complement of the arrangement.
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Metadata
- Type
- preprint
- Language
- en
- Landing Page
- http://arxiv.org/abs/2212.12275
- https://arxiv.org/pdf/2212.12275
- OA Status
- green
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W4312206170
All OpenAlex metadata
Raw OpenAlex JSON
- OpenAlex ID
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https://openalex.org/W4312206170Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.48550/arxiv.2212.12275Digital Object Identifier
- Title
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On torsion freeness for the decomposable Orlik-Solomon algebraWork title
- Type
-
preprintOpenAlex work type
- Language
-
enPrimary language
- Publication year
-
2022Year of publication
- Publication date
-
2022-12-23Full publication date if available
- Authors
-
Anca MăcinicList of authors in order
- Landing page
-
https://arxiv.org/abs/2212.12275Publisher landing page
- PDF URL
-
https://arxiv.org/pdf/2212.12275Direct link to full text PDF
- Open access
-
YesWhether a free full text is available
- OA status
-
greenOpen access status per OpenAlex
- OA URL
-
https://arxiv.org/pdf/2212.12275Direct OA link when available
- Concepts
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Mathematics, Matroid, Hyperplane, Torsion (gastropod), Homotopy, Combinatorics, Algebra over a field, Pure mathematics, Discrete mathematics, Medicine, SurgeryTop concepts (fields/topics) attached by OpenAlex
- Cited by
-
0Total citation count in OpenAlex
- Related works (count)
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10Other works algorithmically related by OpenAlex
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