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.