On the $v$-adic values of G-functions I
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866912645737611264 |
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| author | Papas, Georgios |
| author_facet | Papas, Georgios |
| contents | This is the first in a series of papers aimed at studying families of G-functions associated to $1$-parameter families of abelian schemes. In particular, the construction of relations, in both the archimedean and non-archimedean settings, at values of specific interest to problems of unlikely intersections.
In this first text in this series, we record what we expect to be the theoretical foundations of this series in a uniform way. After this, we study values corresponding to ``splittings'' in $\mathcal{A}_2$ pertinent to the Zilber-Pink conjecture. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_11806 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the $v$-adic values of G-functions I Papas, Georgios Number Theory Algebraic Geometry This is the first in a series of papers aimed at studying families of G-functions associated to $1$-parameter families of abelian schemes. In particular, the construction of relations, in both the archimedean and non-archimedean settings, at values of specific interest to problems of unlikely intersections. In this first text in this series, we record what we expect to be the theoretical foundations of this series in a uniform way. After this, we study values corresponding to ``splittings'' in $\mathcal{A}_2$ pertinent to the Zilber-Pink conjecture. |
| title | On the $v$-adic values of G-functions I |
| topic | Number Theory Algebraic Geometry |
| url | https://arxiv.org/abs/2510.11806 |