Rational points on curves over function fields
Number Theory
2015-02-09 v3 Algebraic Geometry
Abstract
We provide in this paper an upper bound for the number of rational points on a curve defined over a one variable function field over a finite field. The bound only depends on the curve and the field, but not on the Jacobian variety of the curve.
Cite
@article{arxiv.1208.5610,
title = {Rational points on curves over function fields},
author = {Amilcar Pacheco and Fabien Pazuki},
journal= {arXiv preprint arXiv:1208.5610},
year = {2015}
}