Approximation forte pour les espaces homog\`enes de groupes semisimples sur le corps des fonctions d'une courbe alg\'ebrique complexe

Abstract

Let K be the function field of a curve over the complex field. Let X be a homogeneous space of a semisimple linear algebraic group. Strong approximation holds for X outside any finite nonempty set of places of K. Strong approximation fails for tori over K.