Good reduction of the Brauer-Manin obstruction
Algebraic Geometry
2011-11-10 v1
Abstract
For a smooth and projective variety over a number field with torsion free geometric Picard group and finite transcendental Brauer group we show that only the archimedean places, the primes of bad reduction and the primes dividing the order of the transcendental Brauer group can turn up in the description of the Brauer-Manin set.
Keywords
Cite
@article{arxiv.1009.0247,
title = {Good reduction of the Brauer-Manin obstruction},
author = {J. -L. Colliot-Thélène and A. N. Skorobogatov},
journal= {arXiv preprint arXiv:1009.0247},
year = {2011}
}
Comments
17 pages, in English