Weak approximation for homogeneous spaces: reduction to the case with finite stabilizer
Number Theory
2017-09-06 v3 Algebraic Geometry
Abstract
We reduce the question about whether the Brauer-Manin obstruction to weak approximation for homogeneous spaces is the only obstruction to the "simpler" question of the particular case of homogeneous spaces of with finite stabilizer. We also give unconditional results based on the few known results on finite stabilizers.
Keywords
Cite
@article{arxiv.1504.08296,
title = {Weak approximation for homogeneous spaces: reduction to the case with finite stabilizer},
author = {Giancarlo Lucchini Arteche},
journal= {arXiv preprint arXiv:1504.08296},
year = {2017}
}
Comments
16 pages. Final version. Slight modifications suggested by the referee added (including the title and Lemma 6)