Rational points on cubic hypersurfaces over $\mathbb{F}_q(t)$
Number Theory
2015-04-06 v2
Abstract
For any finite field k of characteristic exceeding 3, the Hasse principle and weak approximation is established for non-singular cubic hypersurfaces X over the function field k(t), provided that X has dimension at least 6.
Keywords
Cite
@article{arxiv.1502.00772,
title = {Rational points on cubic hypersurfaces over $\mathbb{F}_q(t)$},
author = {Tim Browning and Pankaj Vishe},
journal= {arXiv preprint arXiv:1502.00772},
year = {2015}
}
Comments
64 pages; minor changes to the Introduction, Section 3 and Remark 8.6