The Shafarevich conjecture revisited: Finiteness of pointed families of polarized varieties
Fuente:
arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2020
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| _version_ | 1866912063197020160 |
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| author | Javanpeykar, Ariyan Sun, Ruiran Zuo, Kang |
| author_facet | Javanpeykar, Ariyan Sun, Ruiran Zuo, Kang |
| contents | Motivated by Lang-Vojta's conjectures on hyperbolic varieties, we prove a new version of the Shafarevich conjecture in which we establish the finiteness of pointed families of polarized varieties. We then give an arithmetic application to the finiteness of integral points on moduli spaces of polarized varieties. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2005_05933 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | The Shafarevich conjecture revisited: Finiteness of pointed families of polarized varieties Javanpeykar, Ariyan Sun, Ruiran Zuo, Kang Algebraic Geometry Motivated by Lang-Vojta's conjectures on hyperbolic varieties, we prove a new version of the Shafarevich conjecture in which we establish the finiteness of pointed families of polarized varieties. We then give an arithmetic application to the finiteness of integral points on moduli spaces of polarized varieties. |
| title | The Shafarevich conjecture revisited: Finiteness of pointed families of polarized varieties |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2005.05933 |