On the number of points on abelian and Jacobian varieties over finite fields
Résumé
This article has roughly a threefold aim. The first is to provide a series of upper and lower bounds for the number of points on an abelian variety defined over a finite field. Our second aim is to obtain specific lower bounds in the special case where the abelian variety is the Jacobian of a smooth, projective, absolutely irreducible algebraic curve. The third aim is to give exact values for the maximum and the minimum number of rational points on Jacobian varieties of dimension 2.
Domaines
Géométrie algébrique [math.AG]Origine | Fichiers éditeurs autorisés sur une archive ouverte |
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