Canonical heights on the Jacobians of curves of genus 2 and the infinite descent
Canonical liftings of jacobians
Canonical local heights and multiplication formulas for the Jacobians of curves of genus 2
Characterization of jacobian varieties in arbitrary characteristic
Characterization of Jacobian varieties in terms of soliton equations.
Comments on the Links Between Modular Invariants, Simple Factors in the Jacobian of Fermat Curves, and Rational Triangular Billiards
Compactification de l’espace des modules des variétés abéliennes principalement polarisées
Les variétés abéliennes principalement polarisées admettent un espace des modules grossier qu’on sait compactifier de plusieurs façons (compactification de Satake, compactifications toroïdales). Cependant, le problème s’est posé de construire une compactification “modulaire”en termes d’objets géométriques qui permettent de décrire les points du bord. On souhaite aussi compactifier l’application de Torelli qui à chaque courbe algébrique, projective et lisse, associe sa jacobienne. L’exposé présente...
Compactified Jocobian of some unibranch curves.
Computing torsion points on curves.
Congruences between cusp forms and the geometry of Jacobians of modular curves.
Construcción canónica de cuspides y aproximación a su jacobiana.
Counting points in medium characteristic using Kedlaya's algorithm.
Covering collections and a challenge problem of Serre
Cubic differential forms and the group law on the Jacobian of a real algebraic curve
In an earlier paper [6], we gave an explicit geometric description of the group law on the neutral component of the set of real points of the Jacobian of a smooth quartic curve. Here, we generalize this description to curves of higher genus. We get a description of the group law on the neutral component of the set of real points of the Jacobian of a smooth curve in terms of cubic differential forms. When applied to canonical curves, one gets an explicit geometric description of this group law by...
Curves of genus 2 and Desargues configurations.
Curves of genus g lying on a g-dimensional Jacobian variety.