Optimal curves of low genus over finite fields
Algebraic Geometry
2011-09-01 v3 Number Theory
Abstract
The Hasse-Weil-Serre bound is improved for curves of low genera over finite fields with discriminant in {-3,-4,-7,-8,-11,-19} by studying optimal curves.
Cite
@article{arxiv.0706.4203,
title = {Optimal curves of low genus over finite fields},
author = {Alexey Zaytsev},
journal= {arXiv preprint arXiv:0706.4203},
year = {2011}
}
Comments
a proof of the theorem 5.6 was corrected