On the maximum number of rational points on singular curves over finite fields
Algebraic Geometry
2015-10-05 v2
Abstract
We give a construction of singular curves with many rational points over finite fields. This construction enables us to prove some results on the maximum number of rational points on an absolutely irreducible projective algebraic curve defined over Fq of geometric genus g and arithmetic genus .
Keywords
Cite
@article{arxiv.1501.03676,
title = {On the maximum number of rational points on singular curves over finite fields},
author = {Yves Aubry and Annamaria Iezzi},
journal= {arXiv preprint arXiv:1501.03676},
year = {2015}
}