Boundedness of polarized log Calabi-Yau fibrations with bounded bases
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866913780795965440 |
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| author | Jiang, Xiaowei Jiao, Junpeng Zhu, Minzhe |
| author_facet | Jiang, Xiaowei Jiao, Junpeng Zhu, Minzhe |
| contents | We investigate the boundedness problem for log Calabi-Yau fibrations whose bases and general fibers are bounded. We prove that the total spaces of log Calabi-Yau fibrations are bounded in codimension one after fixing some natural invariants. We also prove that the total spaces are bounded if, in addition, the irregularity of the general fibers vanishes. Then we apply our results to the boundedness problem for stable minimal models and fibered Calabi-Yau varieties. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_05243 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Boundedness of polarized log Calabi-Yau fibrations with bounded bases Jiang, Xiaowei Jiao, Junpeng Zhu, Minzhe Algebraic Geometry 14E30, 14J10, 14J40 We investigate the boundedness problem for log Calabi-Yau fibrations whose bases and general fibers are bounded. We prove that the total spaces of log Calabi-Yau fibrations are bounded in codimension one after fixing some natural invariants. We also prove that the total spaces are bounded if, in addition, the irregularity of the general fibers vanishes. Then we apply our results to the boundedness problem for stable minimal models and fibered Calabi-Yau varieties. |
| title | Boundedness of polarized log Calabi-Yau fibrations with bounded bases |
| topic | Algebraic Geometry 14E30, 14J10, 14J40 |
| url | https://arxiv.org/abs/2504.05243 |