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Arithmetics of homogeneous spaces over p$p$‐adic function fields

Arithmetics of homogeneous spaces over p$p$‐adic function fields

Abstract Let be the function field of a smooth projective geometrically integral curve over a finite extension of . Following the works of Harari, Scheiderer, Szamuely, Izquierdo, and Tian, we study the local–global and weak approximation problems for homogeneous spaces of with geometric stabilizers extension of a group of multiplicative …