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arXiv · 1407.0268

D\'ecompte dans une conjecture de Lang sur les corps de fonctions : cas des courbes

A. Pacheco·F. Pazuki
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Abstract

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.

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BibTeXRIS

A. Pacheco, F. Pazuki. 2014-07-01. D\'ecompte dans une conjecture de Lang sur les corps de fonctions : cas des courbes. https://arxiv.org/abs/1407.0268

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