The 13 chapters of this book centre around the proof of Theorem 1
of Faltings' paper "Diophantine approximation on abelian
varieties," Ann. Math.133 (1991) and together give an approach to
the proof that is accessible to Ph.D-level students in number
theory and algebraic geometry. Each chapter is based on an
instructional lecture given by its author ata special conference
for graduate students, on the topic of Faltings' paper.
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