Table of Contents

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.

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