Counting points of slope varieties over finite fields.
Counting points of small height on elliptic curves
Counting points on curves over finite fields
Counting rational points on a certain exponential-algebraic surface
We study the distribution of rational points on a certain exponential-algebraic surface and we prove, for this surface, a conjecture of A. J. Wilkie.
Counting rational points on cubic and quartic surfaces
Counting rational points on del Pezzo surfaces with a conic bundle structure
For any number field k, upper bounds are established for the number of k-rational points of bounded height on non-singular del Pezzo surfaces defined over k, which are equipped with suitable conic bundle structures over k.
Counting rational points on hypersurfaces of low dimension
Courbes algébriques de genre ≥ 2 possédant de nombreux points rationnels
Courbes de Weil semi-stables de discriminant une puissance m-ième.
Courbes elliptiques dans les corps de nombres
Courbes elliptiques et symboles modulaires
Courbes elliptiques, fonctions L , et tours cyclotomiques.
Courbes elliptiques munies d’un sous-groupe
Courbes modulaires de genre 1
Courbes modulaires et courbes de Fermat.
Courbes stables de genre 2 et leur schéma de modules.
Courbes sur une variété abélienne
Courbes sur une variété abélienne et points de torsion.
Coverings of Singular curves over Finite Fields.
Covers in -adic analytic geometry and log covers I: Cospecialization of the -tempered fundamental group for a family of curves
The tempered fundamental group of a -adic analytic space classifies covers that are dominated by a topological cover (for the Berkovich topology) of a finite étale cover of the space. Here we construct cospecialization homomorphisms between versions of the tempered fundamental groups of the fibers of a smooth family of curves with semistable reduction. To do so, we will translate our problem in terms of cospecialization morphisms of fundamental groups of the log fibers of the log reduction and...