English

The minimum and maximum number of rational points on jacobian surfaces over finite fields

Algebraic Geometry 2010-02-22 v1

Abstract

We give some bounds on the numbers of rational points on abelian varieties and jacobians varieties over finite fields. The main result is that we determine the maximum and minimum number of rational points on jacobians varieties of dimension 2.

Keywords

Cite

@article{arxiv.1002.3683,
  title  = {The minimum and maximum number of rational points on jacobian surfaces over finite fields},
  author = {Safia Haloui},
  journal= {arXiv preprint arXiv:1002.3683},
  year   = {2010}
}