Number of points on abelian and Jacobians varieties over finite fields

Details Number of points on abelian and Jacobians varieties over finite fields Number of points on abelian and Jacobians varieties over finite fields

2012-01-24

arxiv.org/abs/1201.4967v1

Mathematics

Algebraic Geometry

19 pages. arXiv admin note: significant text overlap with arXiv:1002.3683

Scientific paper

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.

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