Toric Fano three-folds with terminal singularities
This paper classifies all toric Fano 3-folds with terminal singularities. This is achieved by solving the equivalent combinatoric problem; that of finding, up to the action of GL(3,Z), all convex polytopes in Z^3 which contain the origin as the only non-vertex lattice point.
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| Format: | Article |
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Tohoku University, Mathematical Institute
2006
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| Online Access: | https://eprints.nottingham.ac.uk/30718/ |
| _version_ | 1848794043312504832 |
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| author | Kasprzyk, Alexander M. |
| author_facet | Kasprzyk, Alexander M. |
| author_sort | Kasprzyk, Alexander M. |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | This paper classifies all toric Fano 3-folds with terminal singularities. This is achieved by solving the equivalent combinatoric problem; that of finding, up to the action of GL(3,Z), all convex polytopes in Z^3 which contain the origin as the only non-vertex lattice point. |
| first_indexed | 2025-11-14T19:09:55Z |
| format | Article |
| id | nottingham-30718 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| last_indexed | 2025-11-14T19:09:55Z |
| publishDate | 2006 |
| publisher | Tohoku University, Mathematical Institute |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-307182020-05-04T20:30:03Z https://eprints.nottingham.ac.uk/30718/ Toric Fano three-folds with terminal singularities Kasprzyk, Alexander M. This paper classifies all toric Fano 3-folds with terminal singularities. This is achieved by solving the equivalent combinatoric problem; that of finding, up to the action of GL(3,Z), all convex polytopes in Z^3 which contain the origin as the only non-vertex lattice point. Tohoku University, Mathematical Institute 2006 Article PeerReviewed Kasprzyk, Alexander M. (2006) Toric Fano three-folds with terminal singularities. Tohoku Mathematical Journal, 58 (1). pp. 101-121. ISSN 0040-8735 Toric Fano 3-folds terminal singularities convex polytopes http://projecteuclid.org/euclid.tmj/1145390208 doi:10.2748/tmj/1145390208 doi:10.2748/tmj/1145390208 |
| spellingShingle | Toric Fano 3-folds terminal singularities convex polytopes Kasprzyk, Alexander M. Toric Fano three-folds with terminal singularities |
| title | Toric Fano three-folds with terminal singularities |
| title_full | Toric Fano three-folds with terminal singularities |
| title_fullStr | Toric Fano three-folds with terminal singularities |
| title_full_unstemmed | Toric Fano three-folds with terminal singularities |
| title_short | Toric Fano three-folds with terminal singularities |
| title_sort | toric fano three-folds with terminal singularities |
| topic | Toric Fano 3-folds terminal singularities convex polytopes |
| url | https://eprints.nottingham.ac.uk/30718/ https://eprints.nottingham.ac.uk/30718/ https://eprints.nottingham.ac.uk/30718/ |