Number of points on abelian and Jacobian varieties over finite fields
نویسندگان
چکیده
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.
منابع مشابه
The Minimum and Maximum Number of Rational Points on Jacobian Surfaces over Finite Fields
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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