Pureté de l'approximation forte sur le corps des fonctions d'une courbe algébrique complexe

Abstract

Over the function field of a complex algebraic curve, strong approximation off a non-empty finite set of places holds for the complement of a codimension $2$ closed subset in a homogeneous space under a semisimple algebraic group, and for the complement of a codimension $2$ closed subset in an affine smooth complete intersection of low degree.

24 pages. The article is in french. v2: minor modifications; definition of strong approximation has been moved to the introduction; few references have been added. Final version

References in corpus (2)

• Approximation forte pour les variétés avec une action d'un groupe linéaire
• Log Fano varieties over function fields of curves