Rational curves with many rational points over a finite field
Algebraic Geometry
2011-08-23 v1 Combinatorics
Abstract
We study a particular plane curve over a finite field whose normalization is of genus 0. The number of rational points of this curve achieves the Aubry-Perret bound for rational curves. The configuration of its rational points and a generalization of the curve are also presented.
Cite
@article{arxiv.1108.4227,
title = {Rational curves with many rational points over a finite field},
author = {Satoru Fukasawa and Masaaki Homma and Seon Jeong Kim},
journal= {arXiv preprint arXiv:1108.4227},
year = {2011}
}
Comments
15pages, presented at AGCT13