Canonical toric Fano threefolds
An inductive approach to classifying toric Fano varieties is given. As an application of this technique, we present a classification of the toric Fano threefolds with at worst canonical singularities. Up to isomorphism, there are 674,688 such varieties.
| Main Author: | |
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| Format: | Article |
| Published: |
University of Toronto Press
2010
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| Online Access: | https://eprints.nottingham.ac.uk/30724/ |
| _version_ | 1848794045069918208 |
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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 | An inductive approach to classifying toric Fano varieties is given. As an application of this technique, we present a classification of the toric Fano threefolds with at worst canonical singularities. Up to isomorphism, there are 674,688 such varieties. |
| first_indexed | 2025-11-14T19:09:57Z |
| format | Article |
| id | nottingham-30724 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| last_indexed | 2025-11-14T19:09:57Z |
| publishDate | 2010 |
| publisher | University of Toronto Press |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-307242020-05-04T16:29:38Z https://eprints.nottingham.ac.uk/30724/ Canonical toric Fano threefolds Kasprzyk, Alexander M. An inductive approach to classifying toric Fano varieties is given. As an application of this technique, we present a classification of the toric Fano threefolds with at worst canonical singularities. Up to isomorphism, there are 674,688 such varieties. University of Toronto Press 2010-08-18 Article PeerReviewed Kasprzyk, Alexander M. (2010) Canonical toric Fano threefolds. Canadian Journal of Mathematics, 62 (6). pp. 1293-1309. ISSN 1496-4279 http://cms.math.ca/10.4153/CJM-2010-070-3 doi:10.4153/CJM-2010-070-3 doi:10.4153/CJM-2010-070-3 |
| spellingShingle | Kasprzyk, Alexander M. Canonical toric Fano threefolds |
| title | Canonical toric Fano threefolds |
| title_full | Canonical toric Fano threefolds |
| title_fullStr | Canonical toric Fano threefolds |
| title_full_unstemmed | Canonical toric Fano threefolds |
| title_short | Canonical toric Fano threefolds |
| title_sort | canonical toric fano threefolds |
| url | https://eprints.nottingham.ac.uk/30724/ https://eprints.nottingham.ac.uk/30724/ https://eprints.nottingham.ac.uk/30724/ |