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

Published 15 Jul 2022 in math.AG and math.NT | (2207.07527v2)

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.

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