Boundedness of polarized log Calabi-Yau fibrations
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2022
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| _version_ | 1866913889604599808 |
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| author | Jiao, Junpeng |
| author_facet | Jiao, Junpeng |
| contents | In this paper, we investigate the boundedness of log pairs with log Calabi--Yau fibration structures. We prove that total spaces of log Calabi--Yau fibrations are bounded modulo crepant birational equivalence when the Iitaka volumes of log canonical divisors are bounded and general fibers are in a bounded family of polarized log Calabi--Yau pairs. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2202_07238 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Boundedness of polarized log Calabi-Yau fibrations Jiao, Junpeng Algebraic Geometry In this paper, we investigate the boundedness of log pairs with log Calabi--Yau fibration structures. We prove that total spaces of log Calabi--Yau fibrations are bounded modulo crepant birational equivalence when the Iitaka volumes of log canonical divisors are bounded and general fibers are in a bounded family of polarized log Calabi--Yau pairs. |
| title | Boundedness of polarized log Calabi-Yau fibrations |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2202.07238 |