The Zilber--Pink conjecture for products of curves with highly degenerate reduction
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_ | 1866914951427260416 |
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| author | Dogra, Netan |
| author_facet | Dogra, Netan |
| contents | We give a proof of the Zilber--Pink conjecture for $n$-fold self-products of a curve $X$ inside the self-product of its Jacobian, when $X$ has appropriate bad reduction, its Jacobian has no extra endomorphisms, and $n$ is sufficiently small. The strategy of proof follows the work of Katz, Rabinoff and Zureick-Brown on explicit Manin--Mumford bounds. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_05481 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The Zilber--Pink conjecture for products of curves with highly degenerate reduction Dogra, Netan Number Theory Algebraic Geometry We give a proof of the Zilber--Pink conjecture for $n$-fold self-products of a curve $X$ inside the self-product of its Jacobian, when $X$ has appropriate bad reduction, its Jacobian has no extra endomorphisms, and $n$ is sufficiently small. The strategy of proof follows the work of Katz, Rabinoff and Zureick-Brown on explicit Manin--Mumford bounds. |
| title | The Zilber--Pink conjecture for products of curves with highly degenerate reduction |
| topic | Number Theory Algebraic Geometry |
| url | https://arxiv.org/abs/2403.05481 |