Diophantine Approximation and Abelian Varieties: Introductory Lectures (Paperback)

Diophantine Equations and Approximation.- Diophantine Approximation and its Applications.- Roth s Theorem.- The Subspace Theorem of W.M. Schmidt.- Heights on Abelian Varieties.- D. Mumford s A Remark on Mordell s Conjecture .- Ample Line Bundles and Intersection Theory.- The Product Theorem.- Geometric Part of Faltings s Proof.- Faltings s Version of Siegel s Lemma.- Arithmetic Part of Faltings s Proof.- Points of Degree d on Curves over Number Fields.- The General Case of S. Lang s Conjecture (after Faltings).