A publication of the Max Planck-Institut für Mathematik, Bonn.
I: Moduli Spaces --; II: Heights --; III: Some Facts from the Theory of Group Schemes (Fritz Grunewald) --; IV: Tate'S Conjecture on the Endomorphisms of Abelian Varieties (Norbert Schappacher) --; V: The Finiteness Theorems of Faltings --; VI: Complements --; VII: Intersection Theory on Arithmetic Surfaces.