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arxiv: 1002.3683 · v1 · submitted 2010-02-19 · 🧮 math.AG

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

classification 🧮 math.AG
keywords pointsrationalvarietiesfieldsfinitejacobiansmaximumminimum
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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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