Density of Ch\^atelet surfaces failing the Hasse principle
Number Theory
2018-05-16 v2 Algebraic Geometry
Abstract
Ch\^atelet surfaces provide a rich source of geometrically rational surfaces which do not always satisfy the Hasse principle. Restricting attention to a special class of Ch\^atelet surfaces, we investigate the frequency that such counter-examples arise over the rationals.
Cite
@article{arxiv.1210.4010,
title = {Density of Ch\^atelet surfaces failing the Hasse principle},
author = {R. de la Bretèche and T. D. Browning},
journal= {arXiv preprint arXiv:1210.4010},
year = {2018}
}
Comments
52 pages; minor changes