Décompte dans une conjecture de Lang sur les corps de fonctions : cas des courbes
| hal.structure.identifier | Instituto de Matemática da Universidade Federal do Rio de Janeiro [IM / UFRJ] | |
| dc.contributor.author | PACHECO, A. | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | PAZUKI, F. | |
| dc.date.accessioned | 2024-04-04T03:21:19Z | |
| dc.date.available | 2024-04-04T03:21:19Z | |
| dc.date.created | 2014-07-03 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/194647 | |
| dc.description.abstractEn | Let $X$ be a genus $d$ curve with $d\geq 2$ defined over a global function field $K$ of characteristic $p>0$ with $p>2d+1$. Suppose $X$ non-isotrivial. Let $\Gamma$ be a sub-group of $J(K_s)$, where $J$ is the jacobian of $X$ and $K_s$ is a separable closure of $K$, verifying $\Gamma/p \Gamma$ finite. Then one shows that $X\cap \Gamma$ has finite cardinal and one provides an explicit upper bound. This generalizes a result of Buium and Voloch. | |
| dc.language.iso | fr | |
| dc.title | Décompte dans une conjecture de Lang sur les corps de fonctions : cas des courbes | |
| dc.type | Document de travail - Pré-publication | |
| dc.subject.hal | Mathématiques [math]/Théorie des nombres [math.NT] | |
| dc.identifier.arxiv | 1407.0268 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| hal.identifier | hal-01030753 | |
| hal.version | 1 | |
| hal.audience | Non spécifiée | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-01030753v1 | |
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