%0 Journal Article
%T On Manin's conjecture for a family of Chatelet surfaces
%A R. de la Bret¨¨che
%A T. D. Browning
%A E. Peyre
%J Mathematics
%D 2010
%I arXiv
%X The Manin conjecture is established for Ch\^atelet surfaces over Q arising as minimal proper smooth models of the surface Y^2+Z^2=f(X) where f is a totally reducible polynomial of degree 3 without repeated roots. These surfaces do not satisfy weak approximation.
%U http://arxiv.org/abs/1002.0255v1