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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | https://arxiv.org/abs/2407.01105 |
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| _version_ | 1866910508911689728 |
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| author | Druel, Stéphane |
| author_facet | Druel, Stéphane |
| contents | Let $X$ be a smooth quasi-projective surface over a number field $K$, and let $L$ be a foliation on $X$. We prove that if $L$ is closed under $p$-th powers for almost all primes $p$, then any $L$-invariant smooth formal curve is $A$-analytic. Building on prior work of Bost we obtain an algebraicity criterion for those curves. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_01105 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | $A$-analyticity of separatricies of foliations Druel, Stéphane Number Theory 14G40, 37F75 Let $X$ be a smooth quasi-projective surface over a number field $K$, and let $L$ be a foliation on $X$. We prove that if $L$ is closed under $p$-th powers for almost all primes $p$, then any $L$-invariant smooth formal curve is $A$-analytic. Building on prior work of Bost we obtain an algebraicity criterion for those curves. |
| title | $A$-analyticity of separatricies of foliations |
| topic | Number Theory 14G40, 37F75 |
| url | https://arxiv.org/abs/2407.01105 |