Number of points on abelian and Jacobian varieties over finite fields

Abstract

We give upper and lower bounds for the number of points on abelian varieties over finite fields, and lower bounds specific to Jacobian varieties. We also determine exact formulas for the maximum and minimum number of points on Jacobian surfaces. 

Topics

Cite this paper

@inproceedings{Aubry2017NumberOP, title={Number of points on abelian and Jacobian varieties over finite fields}, author={Yves Aubry and Safia Haloui and Gilles Lachaud}, year={2017} }