Puret\'e de l'approximation forte sur le corps des fonctions d'une courbe alg\'ebrique complexe
Algebraic Geometry
2024-06-25 v2 Number Theory
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 closed subset in a homogeneous space under a semisimple algebraic group, and for the complement of a codimension closed subset in an affine smooth complete intersection of low degree.
Cite
@article{arxiv.2207.07527,
title = {Puret\'e de l'approximation forte sur le corps des fonctions d'une courbe alg\'ebrique complexe},
author = {Elyes Boughattas},
journal= {arXiv preprint arXiv:2207.07527},
year = {2024}
}
Comments
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