Nowhere vanishing 1-forms on varieties admitting a good minimal model
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866910678332211200 |
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| author | Church, Benjamin |
| author_facet | Church, Benjamin |
| contents | We prove several conjectures relating the existence of nonvanishing 1- forms to smooth morphisms over abelian varieties, assuming the existence of good minimal models. The proof involves a decomposition result for a family of Calabi-Yau varieties equipped with a surjective map to an abelian scheme. In the uniruled case, supposing the MRC base admits a good minimal model, we also achieve a structure theorem for those varieties admitting nowhere vanishing 1-forms. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_22753 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Nowhere vanishing 1-forms on varieties admitting a good minimal model Church, Benjamin Algebraic Geometry 14J10 We prove several conjectures relating the existence of nonvanishing 1- forms to smooth morphisms over abelian varieties, assuming the existence of good minimal models. The proof involves a decomposition result for a family of Calabi-Yau varieties equipped with a surjective map to an abelian scheme. In the uniruled case, supposing the MRC base admits a good minimal model, we also achieve a structure theorem for those varieties admitting nowhere vanishing 1-forms. |
| title | Nowhere vanishing 1-forms on varieties admitting a good minimal model |
| topic | Algebraic Geometry 14J10 |
| url | https://arxiv.org/abs/2410.22753 |