Cubic hypersurfaces and a version of the circle method for number fields
Number Theory
2015-01-14 v2
Abstract
A version of the Hardy-Littlewood circle method is developed for number fields K/Q and is used to show that non-singular projective cubic hypersurfaces over K always have a K-rational point when they have dimension at least 8.
Cite
@article{arxiv.1207.2385,
title = {Cubic hypersurfaces and a version of the circle method for number fields},
author = {Tim Browning and Pankaj Vishe},
journal= {arXiv preprint arXiv:1207.2385},
year = {2015}
}
Comments
47 pages; numerous minor changes