Table of contents : Arithmétique des Surfaces Cubiques Diagonales....Pages 1-108 Small values of heights on families of abelian varieties....Pages 109-148 Large transcendence degree revisited....Pages 149-173 Large transcendence degree revisited....Pages 175-188 A new approach to Baker's theorem on linear forms in logarithms I....Pages 189-202 A new approach to Baker's theorem on linear forms in logarithms II....Pages 203-211 On the thue-mahler equation....Pages 213-243