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

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

2010-02-19

arxiv.org/abs/1002.3683v1

Mathematics

Algebraic Geometry

Scientific paper

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.

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