Décompte dans une conjecture de Lang sur les corps de fonctions : cas des courbes

2014/07/01 by Pacheco, A., Pazuki, F.
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1407.0268

Abstract

Let X be a genus d curve with d≥ 2 defined over a global function field K of characteristic p>0 with p>2d+1. Suppose X non-isotrivial. Let Γ 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 Γ/p Γ finite. Then one shows that X∩ Γ has finite cardinal and one provides an explicit upper bound. This generalizes a result of Buium and Voloch.

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