Arithmetic Distance Functions and Height Fuctions in Diophantine Geometry.
Arithmetic of 0-cycles on varieties defined over number fields
Let be a rationally connected algebraic variety, defined over a number field We find a relation between the arithmetic of rational points on and the arithmetic of zero-cycles. More precisely, we consider the following statements: (1) the Brauer-Manin obstruction is the only obstruction to weak approximation for -rational points on for all finite extensions (2) the Brauer-Manin obstruction is the only obstruction to weak approximation in some sense that we define for zero-cycles of degree...
Arithmetic vector bundles and automorphic forms on Shimura vartieties. I.
Arithmetic vector bundles and automorphic forms on Shimura varieties, II
Arithmétique de courbes modulaires
Arithmétique des courbes elliptiques et théorie d'Iwasawa
Arithmetisch ganze Differentiale der Modulfunktionenkörper 6. und 7. Stufe
Automorphic vector bundles on connected Shimura varieties.
Automorphismes de courbes modulaires