On multiplicities of fibers of Fano fibrations
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2022
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| _version_ | 1866908882280906752 |
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| author | Chen, Guodu Zhou, Chuyu |
| author_facet | Chen, Guodu Zhou, Chuyu |
| contents | In this note, we reduce various conjectures in birational geometry, including Shokurov conjecture on singularities of the base of log Calabi-Yau fibrations of Fano type and boundedness conjecture for rationally connected Calabi-Yau varieties, to a conjecture on multiplicities of fibers of Fano fibrations over curves. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2208_10372 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | On multiplicities of fibers of Fano fibrations Chen, Guodu Zhou, Chuyu Algebraic Geometry In this note, we reduce various conjectures in birational geometry, including Shokurov conjecture on singularities of the base of log Calabi-Yau fibrations of Fano type and boundedness conjecture for rationally connected Calabi-Yau varieties, to a conjecture on multiplicities of fibers of Fano fibrations over curves. |
| title | On multiplicities of fibers of Fano fibrations |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2208.10372 |