Number of points on abelian and Jacobian varieties over finite fields
Algebraic Geometry
2012-05-04 v2
Abstract
We give upper and lower bounds on 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.
Keywords
Cite
@article{arxiv.1201.4967,
title = {Number of points on abelian and Jacobian varieties over finite fields},
author = {Yves Aubry and Safia Haloui and Gilles Lachaud},
journal= {arXiv preprint arXiv:1201.4967},
year = {2012}
}
Comments
28 pages