Displaying the cohomology of toric line bundles Article Swipe
There is a standard approach to calculate the cohomology of torus-invariant sheaves on a toric variety via the simplicial cohomology of the associated subsets of the space of 1-parameter subgroups of the torus. For a line bundle represented by a formal difference of polyhedra in the character space , [1] contains a simpler formula for the cohomology of , replacing by the set-theoretic difference . Here, we provide a short and direct proof of this formula.
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Metadata
- Type
- preprint
- Language
- en
- Landing Page
- https://doi.org/10.1070/im8948
- https://iopscience.iop.org/article/10.1070/IM8948
- OA Status
- bronze
- References
- 10
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- OpenAlex ID
- https://openalex.org/W2920878433
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- OpenAlex ID
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https://openalex.org/W2920878433Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.1070/im8948Digital Object Identifier
- Title
-
Displaying the cohomology of toric line bundlesWork title
- Type
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preprintOpenAlex work type
- Language
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enPrimary language
- Publication year
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2019Year of publication
- Publication date
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2019-12-19Full publication date if available
- Authors
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Klaus Altmann, David PloogList of authors in order
- Landing page
-
https://doi.org/10.1070/im8948Publisher landing page
- PDF URL
-
https://iopscience.iop.org/article/10.1070/IM8948Direct link to full text PDF
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YesWhether a free full text is available
- OA status
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bronzeOpen access status per OpenAlex
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https://iopscience.iop.org/article/10.1070/IM8948Direct OA link when available
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Cohomology, Mathematics, Toric variety, Torus, Pure mathematics, Line bundle, Invariant (physics), Space (punctuation), Bundle, Combinatorics, Geometry, Computer science, Mathematical physics, Operating system, Composite material, Materials scienceTop concepts (fields/topics) attached by OpenAlex
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0Total citation count in OpenAlex
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10Number of works referenced by this work
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20Other works algorithmically related by OpenAlex
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| abstract_inverted_index.contains | 51 |
| abstract_inverted_index.formula. | 76 |
| abstract_inverted_index.standard | 4 |
| abstract_inverted_index.calculate | 7 |
| abstract_inverted_index.character | 47 |
| abstract_inverted_index.polyhedra | 44 |
| abstract_inverted_index.replacing | 60 |
| abstract_inverted_index.subgroups | 30 |
| abstract_inverted_index.associated | 23 |
| abstract_inverted_index.cohomology | 9, 20, 57 |
| abstract_inverted_index.difference | 42, 64 |
| abstract_inverted_index.simplicial | 19 |
| abstract_inverted_index.1-parameter | 29 |
| abstract_inverted_index.represented | 38 |
| abstract_inverted_index.set-theoretic | 63 |
| abstract_inverted_index.torus-invariant | 11 |
| cited_by_percentile_year | |
| countries_distinct_count | 1 |
| institutions_distinct_count | 2 |
| citation_normalized_percentile.value | 0.08671825 |
| citation_normalized_percentile.is_in_top_1_percent | False |
| citation_normalized_percentile.is_in_top_10_percent | False |