K-stable smooth Fano threefolds of Picard rank two
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2022
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| Subjects: | |
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| _version_ | 1866909072454844416 |
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| author | Cheltsov, Ivan Denisova, Elena Fujita, Kento |
| author_facet | Cheltsov, Ivan Denisova, Elena Fujita, Kento |
| contents | We prove that all smooth Fano threefolds in the families 2.1, 2.2, 2.3, 2.4, 2.6 and 2.7 are K-stable, and we also prove that smooth Fano threefolds in the family 2.5 that satisfy one very explicit generality condition are K-stable. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2210_14770 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | K-stable smooth Fano threefolds of Picard rank two Cheltsov, Ivan Denisova, Elena Fujita, Kento Algebraic Geometry 14J45, 32Q20 We prove that all smooth Fano threefolds in the families 2.1, 2.2, 2.3, 2.4, 2.6 and 2.7 are K-stable, and we also prove that smooth Fano threefolds in the family 2.5 that satisfy one very explicit generality condition are K-stable. |
| title | K-stable smooth Fano threefolds of Picard rank two |
| topic | Algebraic Geometry 14J45, 32Q20 |
| url | https://arxiv.org/abs/2210.14770 |