Arithmetic finiteness of very irregular varieties
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866917331711557632 |
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| author | Krämer, Thomas Maculan, Marco |
| author_facet | Krämer, Thomas Maculan, Marco |
| contents | We prove the Shafarevich conjecture for very irregular varieties of dimension less than half the dimension of their Albanese variety, subject to some mild numerical conditions. Our proof relies on the Lawrence-Venkatesh method as in the work of Lawrence-Sawin, together with the big monodromy criterion from our work with Javanpeykar and Lehn. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_08485 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Arithmetic finiteness of very irregular varieties Krämer, Thomas Maculan, Marco Algebraic Geometry Number Theory 11G35, 14G25 (primary), 11F80, 14D07, 14G05, 14K12 (secondary) We prove the Shafarevich conjecture for very irregular varieties of dimension less than half the dimension of their Albanese variety, subject to some mild numerical conditions. Our proof relies on the Lawrence-Venkatesh method as in the work of Lawrence-Sawin, together with the big monodromy criterion from our work with Javanpeykar and Lehn. |
| title | Arithmetic finiteness of very irregular varieties |
| topic | Algebraic Geometry Number Theory 11G35, 14G25 (primary), 11F80, 14D07, 14G05, 14K12 (secondary) |
| url | https://arxiv.org/abs/2310.08485 |