A cohomological obstruction to weak approximation for homogeneous spaces

Details A cohomological obstruction to weak approximation for homogeneous spaces A cohomological obstruction to weak approximation for homogeneous spaces

2010-12-07

arxiv.org/abs/1012.1453v2

Mathematics

Number Theory

19 pages. Final version, to appear in Moscow Math. J

Scientific paper

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.

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