Diophantine Approximation and Abelian Varieties: Introductory Lectures

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The 13 chapters of this book centre around the proof ofTheorem 1 of Faltings’ paper Diophantine approximation onabelian varieties , Ann. Math.133 (1991) and together givean approach to the proof that is accessible to Ph.D-levelstudents in number theory and algebraic geometry. Eachchapter is based on an instructional lecture given by itsauthor ata special conference for graduate students, on thetopic of Faltings’ paper.