Weak approximation for homogeneous spaces over some two-dimensional
geometric global fields
Weak approximation for homogeneous spaces over some two-dimensional
geometric global fields
In this article, we study obstructions to weak approximation for connected linear groups and homogeneous spaces with connected or abelian stabilizers over finite extensions of $\mathbb C((x,y))$ or function fields of curves over $\mathbb C((t))$. We show that for connected linear groups, the usual Brauer-Manin obstruction works as in the …