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Number of points on abelian and Jacobians varieties over finite fields
Yves Aubry 1, 2, Safia Haloui 1, Gilles Lachaud 1
(2012-01-23)

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.
1:  Institut de mathématiques de Luminy (IML)
CNRS : UMR6206 – Université de la Méditerranée - Aix-Marseille II
2:  Institut de Mathématiques de Toulon et du Var (IMATH)
Université Sud Toulon Var : EA2134
Mathematics/Algebraic Geometry
Abelian varieties over finite fields – Jacobians – zeta functions
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