Contents Online
Mathematical Research Letters
Volume 24 (2017)
Number 1
Weak approximation for homogeneous spaces: reduction to the case with finite stabilizer
Pages: 1 – 19
DOI: https://dx.doi.org/10.4310/MRL.2017.v24.n1.a1
Author
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 $\mathrm{SL}_n$ with finite stabilizer. We also give unconditional results based on the few known results on finite stabilizers.
Keywords
homogeneous spaces, weak approximation, Brauer–Manin obstruction
2010 Mathematics Subject Classification
14G05, 14M17
Received 23 July 2015
Accepted 9 January 2016
Published 7 June 2017