Exceptional sequences of 8 line bundles on (P^1)^3 Article Swipe
Klaus Altmann
,
Martin Altmann
·
YOU?
·
· 2021
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.2108.11806
YOU?
·
· 2021
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.2108.11806
We investigate maximal exceptional sequences of line bundles on (P^1)^3, i.e. those consisting of 2^r elements. For r=3 we show that they are always full, meaning that they generate the derived category. Everything is done in the discrete setup: Exceptional sequences of line bundles appear as special finite subsets s of the Picard group Z^r of (P^1)^r, and the question of generation is understood like a process of contamination of the whole Z^r out of an infectious seed s.
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Metadata
- Type
- preprint
- Language
- en
- Landing Page
- http://arxiv.org/abs/2108.11806
- https://arxiv.org/pdf/2108.11806
- OA Status
- green
- References
- 5
- Related Works
- 20
- OpenAlex ID
- https://openalex.org/W3194906548
All OpenAlex metadata
Raw OpenAlex JSON
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https://openalex.org/W3194906548Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.48550/arxiv.2108.11806Digital Object Identifier
- Title
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Exceptional sequences of 8 line bundles on (P^1)^3Work title
- Type
-
preprintOpenAlex work type
- Language
-
enPrimary language
- Publication year
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2021Year of publication
- Publication date
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2021-08-26Full publication date if available
- Authors
-
Klaus Altmann, Martin AltmannList of authors in order
- Landing page
-
https://arxiv.org/abs/2108.11806Publisher landing page
- PDF URL
-
https://arxiv.org/pdf/2108.11806Direct link to full text PDF
- Open access
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YesWhether a free full text is available
- OA status
-
greenOpen access status per OpenAlex
- OA URL
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https://arxiv.org/pdf/2108.11806Direct OA link when available
- Concepts
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Mathematics, Line (geometry), Pure mathematics, Process (computing), Combinatorics, Computer science, Geometry, Programming languageTop concepts (fields/topics) attached by OpenAlex
- Cited by
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0Total citation count in OpenAlex
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5Number of works referenced by this work
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20Other works algorithmically related by OpenAlex
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