Synopses & Reviews
This is an introduction to diophantine geometry at the advanced graduate level. The book contains a proof of the Mordell conjecture which will make it quite attractive to graduate students and professional mathematicians. In each part of the book, the reader will find numerous exercises.
Includes bibliographical references (p. -519) and index.
Table of Contents
The Geometry of Curves and Abelian Varieties.- Height Functions.- Rational Points on Abelian Varieties.- Diophantine Approximation and Integral Points on Curves.- Rational Points on Curves of Genus Greater Than 2.- Further Results and Open Problems.