A cohomological obstruction to weak approximation for homogeneous spaces
Number Theory
2021-01-05 v2 Algebraic Geometry
Abstract
Let X be a homogeneous space, X = G/H, where G is a connected linear algebraic group over a number field k, and H is a k-subgroup of G (not necessarily connected). Let S be a finite set of places of k. We compute the Brauer-Manin obstruction to weak approximation for X in S in terms of Galois cohomology.
Cite
@article{arxiv.1012.1453,
title = {A cohomological obstruction to weak approximation for homogeneous spaces},
author = {Mikhail Borovoi and Tomer M. Schlank},
journal= {arXiv preprint arXiv:1012.1453},
year = {2021}
}
Comments
19 pages. Final version, to appear in Moscow Math. J