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

Safia Haloui (1)

1 IML - Institut de mathématiques de Luminy

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.

Mots clés: number of rational points; Abelian varieties over finite fields; jacobians; number of rational points.

Domaines: Géométrie algébrique [math.AG]

Safia Haloui. The minimum and maximum number of rational points on jacobian surfaces over finite fields. 2010. ⟨hal-00457956⟩