Une propriété des hauteurs locales de Néron-Tate sur les variété abéliennes
Une version effective du théorème d'irréductibilité de Hilbert
Uniformisation des variétés abéliennes
Uniformisation des variétés de Laumon-Rapoport-Stuhler et conjecture de Drinfeld-Carayol
Considérons les variétés de “-faisceaux elliptiques” introduites par Laumon, Rapoport et Stuhler, définies sur un corps de fonctions d’une variable sur un corps fini, où est une algèbre de division de dimension sur . Nous montrons que ces variétés admettent, en une place de où est un corps gauche d’invariant , une uniformisation rigide-analytique par l’espace de Drinfeld , ou par les revêtements de (selon la structure de niveau). Ce résultat constitue l’analogue du théorème...
Uniformisation -adique des variétés de Shimura
Uniformisation p-adique
Uniformization of certain Shimura curves
We present an approach to the uniformization of certain Shimura curves by means of automorphic functions, obtained by integration of non-linear differential equations. The method takes as its starting point a differential construction of the modular j-function, first worked out by R. Dedekind in 1877, and makes use of a differential operator of the third order, introduced by H. A. Schwarz in 1873.
Uniformization of rigid subanalytic sets
Uniformizing differential equations of several Hilbert modular orbifolds.
Uniformizing functions for certain Shimura curves, in the case D=6
Uniformly counting rational points on conics
We provide an asymptotic estimate for the number of rational points of bounded height on a non-singular conic over ℚ. The estimate is uniform in the coefficients of the underlying quadratic form.
Uniqueness of equivariant singular Bott-Chern classes
In this paper, we shall discuss possible theories of defining equivariant singular Bott-Chern classes and corresponding uniqueness property. By adding a natural axiomatic characterization to the usual ones of equivariant Bott-Chern secondary characteristic classes, we will see that the construction of Bismut’s equivariant Bott-Chern singular currents provides a unique way to define a theory of equivariant singular Bott-Chern classes. This generalizes J. I. Burgos Gil and R. Liţcanu’s discussion...
Unirationality of Enriques surfaces in characteristic two
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.
Unstable vector bundles and linear systems on surfaces in characteristic p.