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arXiv · 2207.07527

Puret\'e de l'approximation forte sur le corps des fonctions d'une courbe alg\'ebrique complexe

Elyes Boughattas
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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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Elyes Boughattas. 2022-07-15. Puret\'e de l'approximation forte sur le corps des fonctions d'une courbe alg\'ebrique complexe. https://doi.org/10.1007/s00229-024-01560-4

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