Modular Zilber-Pink for geometrically generic varieties
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866909768618082304 |
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| author | Aslanyan, Vahagn Eterović, Sebastian Fowler, Guy |
| author_facet | Aslanyan, Vahagn Eterović, Sebastian Fowler, Guy |
| contents | We prove that the modular Zilber--Pink conjecture (in Pink's formulation in terms of unlikely intersections) holds for all subvarieties $V$ of $ \mathrm{Y}(1)^n$ for which no projection to any $\dim V + 2$ coordinates is defined over the algebraic numbers. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_03160 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Modular Zilber-Pink for geometrically generic varieties Aslanyan, Vahagn Eterović, Sebastian Fowler, Guy Number Theory Algebraic Geometry Logic 11F03, 11F23, 12H05, 12L12, 11U09 We prove that the modular Zilber--Pink conjecture (in Pink's formulation in terms of unlikely intersections) holds for all subvarieties $V$ of $ \mathrm{Y}(1)^n$ for which no projection to any $\dim V + 2$ coordinates is defined over the algebraic numbers. |
| title | Modular Zilber-Pink for geometrically generic varieties |
| topic | Number Theory Algebraic Geometry Logic 11F03, 11F23, 12H05, 12L12, 11U09 |
| url | https://arxiv.org/abs/2509.03160 |