Boundedness of complements for fibered Fano threefolds in positive characteristic
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866914145235894272 |
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| author | Jiang, Xintong |
| author_facet | Jiang, Xintong |
| contents | In this paper, we prove the canonical bundle formula for Fano type fibrations and Shokurov's conjecture on boundedness of complements for Fano type threefold pairs $(X,B)$ with fibration structures in large characteristics. In particular, we prove the conjecture when $-(K_X+B)\not\equiv 0$ is nef and not big in large characteristics. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_00553 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Boundedness of complements for fibered Fano threefolds in positive characteristic Jiang, Xintong Algebraic Geometry In this paper, we prove the canonical bundle formula for Fano type fibrations and Shokurov's conjecture on boundedness of complements for Fano type threefold pairs $(X,B)$ with fibration structures in large characteristics. In particular, we prove the conjecture when $-(K_X+B)\not\equiv 0$ is nef and not big in large characteristics. |
| title | Boundedness of complements for fibered Fano threefolds in positive characteristic |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2506.00553 |