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hal.structure.identifierInstituto de Matemática da Universidade Federal do Rio de Janeiro [IM / UFRJ]
dc.contributor.authorPACHECO, A.
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorPAZUKI, F.
dc.date.accessioned2024-04-04T03:21:19Z
dc.date.available2024-04-04T03:21:19Z
dc.date.created2014-07-03
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/194647
dc.description.abstractEnLet $X$ 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.isofr
dc.titleDécompte dans une conjecture de Lang sur les corps de fonctions : cas des courbes
dc.typeDocument de travail - Pré-publication
dc.subject.halMathématiques [math]/Théorie des nombres [math.NT]
dc.identifier.arxiv1407.0268
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
hal.identifierhal-01030753
hal.version1
hal.audienceNon spécifiée
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-01030753v1
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