Cubic surfaces with one rational line over finite fields
Number Theory
2013-12-23 v1
Abstract
Let Fq be a finite field with q=8 or q at least 16. Let S be a smooth cubic surface defined over Fq containing at least one rational line. We use a pigeonhole principle to prove that all the rational points on S are generated via tangent and secant operations from a single point.
Cite
@article{arxiv.1312.5905,
title = {Cubic surfaces with one rational line over finite fields},
author = {Jenny Cooley},
journal= {arXiv preprint arXiv:1312.5905},
year = {2013}
}
Comments
9 pages