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

2016/04/12 by Jean-Louis Colliot-Thélène, Colliot-Thélène, Jean-Louis
Mathematics · #14G27 #14L99 #20G30 #20G35 #Algebraic Geometry (math.AG) #FOS: Mathematics #Group Theory (math.GR) #Tensor decomposition and applications

paper · pdf · doi:10.48550/arxiv.1604.03464

openalex publication_date 2016/04/12 · openalex created_date 2022/10/05 · openalex updated_date 2026/07/28

Abstract

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

Related

• Weak approximation for homogeneous spaces over some two-dimensional geometric global fields
• The defect of weak approximation for homogeneous spaces. II
• Arithmetic purity of strong approximation for homogeneous spaces
• Arithmetic purity of strong approximation for semi-simple simply connected groups
• Approximation forte en famille