Une version effective du théorème d'irréductibilité de Hilbert
Units in the Modular Function Field. I.
Units in the Modular Function Field. II. A full Set of Units.
Units in the Modular Function Field. III. Distribution Relations.
Units in the Modular Function Field. IV. The Siegel Functions are Generators.
Universal bounds on the torsion of elliptic curves
Unramified Skolem problems and unramified arithmetic Bertini theorems in positive characteristic.
Variation de la hauteur sur une famille de courbes elliptiques particulière
Variations on a theme of Runge: effective determination of integral points on certain varieties
We consider some variations on the classical method of Runge for effectively determining integral points on certain curves. We first prove a version of Runge’s theorem valid for higher-dimensional varieties, generalizing a uniform version of Runge’s theorem due to Bombieri. We then take up the study of how Runge’s method may be expanded by taking advantage of certain coverings. We prove both a result for arbitrary curves and a more explicit result for superelliptic curves. As an application of our...
Weak approximation and non-abellian fundamental groups
Zero-cycles and rational points on some surfaces over a global function field
Zéro-cycles de degré 1 sur les solides de Poonen
B. Poonen a récemment exhibé des exemples de variétés projectives et lisses de dimension 3 sur un corps de nombres qui n’ont pas de point rationnel et pour lesquelles il n’y a pas d’obstruction de Brauer–Manin après revêtement fini étale. Je montre que les variétés qu’il construit possèdent des zéro-cycles de degré 1.
Zur Arithmetik der elliptischen Funktionenkörper höherer Stufe.
Zur Arithmetik von Drinfeld-Moduln.
Арифметические свойства трехмерных алгебраических торов
Голоморфные дифференциальные формы старшей степени на модулярных многообразиях Куги
Диофантовы уравнения над функциональными полями
К вопросу об отображении Шафаревича
К соотношениям Абеля
Когомологии компактифицированных многообразий модулей F-пучков ранга 2