The Brauer-Manin obstruction on a general diagonal quartic surface
Number Theory
2011-08-03 v2 Algebraic Geometry
Abstract
We prove that, on a sufficiently general diagonal quartic surface, there is a non-trivial Brauer group but no Brauer-Manin obstruction to the existence of rational points.
Keywords
Cite
@article{arxiv.1008.0999,
title = {The Brauer-Manin obstruction on a general diagonal quartic surface},
author = {Martin Bright},
journal= {arXiv preprint arXiv:1008.0999},
year = {2011}
}
Comments
9 pages; added a counterexample