Base Number Theorem for Abelian Varieties. An Infinitesimal Approach.
Bielliptic Abelian Surfaces.
Biextensions alternées
Brauer groups of abelian schemes
Classi differenziali e forma di Riemann
Classification of Supersingular Abelian Varieties.
Compactification of degenerate abelian schemes over a regular divisor. (Compactification de schémes Abéliens dégénérant au-dessus d'un diviseur régulier.)
Complete systems of addition laws on Abelian varieties.
Conjugation of Kuga fiber varieties.
Connectedness results for -adic representations associated to abelian varieties
Courbes sur une variété abélienne
Criteria for complex multiplication and transcendence properties of automorphic functions.
Degrees of curves in abelian varieties
Duality for the de Rham cohomology of an abelian scheme
In this paper the equality is established of three different pairings between the first de Rham cohomology group of an abelian scheme over a base flat over and that of its dual. These pairings have appeared and been used either explicitly or implicitly in the literature.In the last section we deduce a generalization to arbitrary characteristic of Serre’s formula for the Poincaré pairing on the first de Rham cohomology group of a curve over a field of characteristic zero.
Eigensections on Kuga families of abelian varieties and finiteness of their Mordell-Weil groups.
Endomorphism estimates for abelian varieties.
Endomorphisms of jacobian varieties of Fermat curves
Equations for Endomorphisms of Abelian Varieties.
Étale cohomology and reduction of abelian varieties
In this paper we study the étale cohomology groups associated to abelian varieties. We obtain necessary and sufficient conditions for an abelian variety to have semistable reduction (or purely additive reduction which becomes semistable over a quadratic extension) in terms of the action of the absolute inertia group on the étale cohomology groups with finite coefficients.
Examples of abelian surfaces in P4.