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| Main Author: | |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2308.08121 |
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| _version_ | 1866911507118292992 |
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| author | Tanaka, Hiromu |
| author_facet | Tanaka, Hiromu |
| contents | Over an algebraically closed field of positive characteristic, we classify smooth Fano threefolds of Picard number one whose anti-canonical linear systems are not very ample. Furthermore, we also prove that an anti-canonically embedded Fano threefold of genus at least five is an intersection of quadrics. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2308_08121 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Fano threefolds in positive characteristic I Tanaka, Hiromu Algebraic Geometry Over an algebraically closed field of positive characteristic, we classify smooth Fano threefolds of Picard number one whose anti-canonical linear systems are not very ample. Furthermore, we also prove that an anti-canonically embedded Fano threefold of genus at least five is an intersection of quadrics. |
| title | Fano threefolds in positive characteristic I |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2308.08121 |