Suite aux travaux de Faltings et Vojta démontrant les conjectures de Mordell et Lang sur les variétés abéliennes et à ceux de Raynaud démontrant la conjecture de Manin-Mumford, de nombreuses nouvelles questions diophantiennes sont apparues, souvent décrites comme des questions d…
"Following Faltings and Vojta's work proving the Mordell-Lang conjecture for abelian varieties and Raynaud's work proving the Manin-Mumford conjecture, many new diophantine questions appeared, often described as problems of unlikely intersections. The arithmetic of moduli spaces…
Bridging the gap between novice and expert, the aim of this book is to present in a self-contained way a number of striking examples of current diophantine problems to which Arakelov geometry has been or may be applied. Arakelov geometry can be seen as a link between algebraic g…