Good minimal models with nowhere vanishing holomorphic $1$-forms
Fuente:
arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
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| _version_ | 1866916528452009984 |
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| author | Hao, Feng Wang, Zichang Zhang, Lei |
| author_facet | Hao, Feng Wang, Zichang Zhang, Lei |
| contents | Popa and Schnell show that any holomorphic 1-form on a smooth projective variety of general type has zeros. In this article, we show that a smooth good minimal model has a holomorphic 1-form without zero if and only if it admits an analytic fiber bundle structure over a positive dimensional abelian variety. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_12582 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Good minimal models with nowhere vanishing holomorphic $1$-forms Hao, Feng Wang, Zichang Zhang, Lei Algebraic Geometry Popa and Schnell show that any holomorphic 1-form on a smooth projective variety of general type has zeros. In this article, we show that a smooth good minimal model has a holomorphic 1-form without zero if and only if it admits an analytic fiber bundle structure over a positive dimensional abelian variety. |
| title | Good minimal models with nowhere vanishing holomorphic $1$-forms |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2412.12582 |