%0 Journal Article
%T Transcendental obstructions to weak approximation on general K3 surfaces
%A Brendan Hassett
%A Anthony V¨¢rilly-Alvarado
%A Patrick Varilly
%J Mathematics
%D 2010
%I arXiv
%R 10.1016/j.aim.2011.06.017
%X We construct an explicit K3 surface over the field of rational numbers that has geometric Picard rank one, and for which there is a transcendental Brauer-Manin obstruction to weak approximation. To do so, we exploit the relationship between polarized K3 surfaces endowed with particular kinds of Brauer classes and cubic fourfolds.
%U http://arxiv.org/abs/1005.1879v1