Diophantine Geometry: An Introduction

✍ Scribed by Marc Hindry, Joseph H. Silverman (auth.)

• Publisher: Springer-Verlag New York
• Year: 2000
• Tongue: English
• Leaves: 577
• Series: Graduate Texts in Mathematics 201
• Edition: 1
• Category: Library

✦ Synopsis

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.

✦ Table of Contents

Front Matter....Pages i-xiii
Introduction....Pages 1-5
The Geometry of Curves and Abelian Varieties....Pages 6-167
Height Functions....Pages 168-256
Rational Points on Abelian Varieties....Pages 257-298
Diophantine Approximation and Integral Points on Curves....Pages 299-366
Rational Points on Curves of Genus at Least 2....Pages 367-432
Further Results and Open Problems....Pages 433-503
Back Matter....Pages 504-561

✦ Subjects

Algebraic Geometry; Number Theory