Hodge type of subvarieties of compact hermitian symmetric spaces.
La variété de Picard d'une variété complète
Lemmes de zéros dans les groupes algébriques commutatifs
Linear Forms in Elliptic Integrals.
Logarithmic forms and group varieties.
Minimal Singularities in GLn.
On the problem of detecting linear dependence for products of abelian varieties and tori
Principal Orbit Types for Algebraic Transformation Spaces in Characteristic Zero.
Pseudo-abelian varieties
Chevalley’s theorem states that every smooth connected algebraic group over a perfect field is an extension of an abelian variety by a smooth connected affine group. That fails when the base field is not perfect. We define a pseudo-abelian variety over an arbitrary field to be a smooth connected -group in which every smooth connected affine normal -subgroup is trivial. This gives a new point of view on the classification of algebraic groups: every smooth connected group over a field is an extension...
Seshadri constants and interpolation on commutative algebraic groups
In this article we study interpolation estimates on a special class of compactifications of commutative algebraic groups constructed by Serre. We obtain a large quantitative improvement over previous results due to Masser and the first author and our main result has the same level of accuracy as the best known multiplicity estimates. The improvements come both from using special properties of the compactifications which we consider and from a different approach based upon Seshadri constants and...
Some remarks on compactifications of commutative algebraic groups.
Sous-groupes analytiques de variétés de groupe
Sous-groupes analytiques de variétés de groupe et théorème de Brumer
The Mordell–Lang question for endomorphisms of semiabelian varieties
The Mordell–Lang conjecture describes the intersection of a finitely generated subgroup with a closed subvariety of a semiabelian variety. Equivalently, this conjecture describes the intersection of closed subvarieties with the set of images of the origin under a finitely generated semigroup of translations. We study the analogous question in which the translations are replaced by algebraic group endomorphisms (and the origin is replaced by another point). We show that the conclusion of the Mordell–Lang...
Théorie de Kummer sur les groupes algébriques
Theta functions and Barsotti-Tate groups
Transcendance dans les variétés de groupe
Transcendance dans les variétés de groupe (II)
Transcendance et indépendance algébrique dans les groupes linéaires
Varieties of topological groups, Lie groups and SIN-groups
In this paper we answer three open problems on varieties of topological groups by invoking Lie group theory. We also reprove in the present context that locally compact groups with arbitrarily small invariant identity neighborhoods can be approximated by Lie groups