The Zilber-Pink conjecture for varieties not defined over $\overline{\mathbb Q}$
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866908294174474240 |
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| author | Klingler, Bruno Tayou, Salim |
| author_facet | Klingler, Bruno Tayou, Salim |
| contents | In this note, we prove the Zilber--Pink conjecture for subvarieties of mixed Shimura varieties, which are not defined over~$\overline{\mathbb Q}$ in a strong sense. We prove similar results for general variations of mixed Hodge structure of geometric origin, assuming furthermore that they are absolute. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_00865 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The Zilber-Pink conjecture for varieties not defined over $\overline{\mathbb Q}$ Klingler, Bruno Tayou, Salim Algebraic Geometry Number Theory In this note, we prove the Zilber--Pink conjecture for subvarieties of mixed Shimura varieties, which are not defined over~$\overline{\mathbb Q}$ in a strong sense. We prove similar results for general variations of mixed Hodge structure of geometric origin, assuming furthermore that they are absolute. |
| title | The Zilber-Pink conjecture for varieties not defined over $\overline{\mathbb Q}$ |
| topic | Algebraic Geometry Number Theory |
| url | https://arxiv.org/abs/2504.00865 |