Unboundedness of the number of rational points on curves over function fields
Number Theory
2016-08-14 v1
Abstract
We give examples of sequences of smooth non-isotrivial curves for every genus at least two, defined over a rational function field of positive characteristic, such that the (finite) number of rational points of the curves in the sequence cannot be uniformly bounded.
Keywords
Cite
@article{arxiv.1204.2001,
title = {Unboundedness of the number of rational points on curves over function fields},
author = {Ricardo Conceição and Douglas Ulmer and José Felipe Voloch},
journal= {arXiv preprint arXiv:1204.2001},
year = {2016}
}