Threefolds of globally $F$-regular type with nef anti-canonical divisor
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866914965353398272 |
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| author | Cascini, Paolo Kawakami, Tatsuro Takagi, Shunsuke |
| author_facet | Cascini, Paolo Kawakami, Tatsuro Takagi, Shunsuke |
| contents | As a special case of a conjecture by Schwede and Smith, we prove that a smooth complex projective threefold with nef anti-canonical divisor is weak Fano if it is of globally $F$-regular type. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_03871 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Threefolds of globally $F$-regular type with nef anti-canonical divisor Cascini, Paolo Kawakami, Tatsuro Takagi, Shunsuke Algebraic Geometry Commutative Algebra 14J45 (Primary) 14J30, 13A35 (Secondary) As a special case of a conjecture by Schwede and Smith, we prove that a smooth complex projective threefold with nef anti-canonical divisor is weak Fano if it is of globally $F$-regular type. |
| title | Threefolds of globally $F$-regular type with nef anti-canonical divisor |
| topic | Algebraic Geometry Commutative Algebra 14J45 (Primary) 14J30, 13A35 (Secondary) |
| url | https://arxiv.org/abs/2410.03871 |