%0 Journal Article
%T Singular curves and the etale Brauer-Manin obstruction for surfaces
%A Yonatan Harpaz
%A Alexei Skorobogatov
%J Mathematics
%D 2012
%I arXiv
%X We construct a smooth and projective surface over an arbitrary number field that is a counterexample to the Hasse principle but has the infinite etale Brauer-Manin set. We also construct a surface with a unique rational point and the infinite etale Brauer-Manin set. The key new ingredient is the arithmetic of singular projective curves.
%U http://arxiv.org/abs/1212.6019v2