Diophantine Geometry: An Introduction

Marc Hindry and Joseph H. Silverman

Springer-Verlag – Graduate Texts in Mathematics 201
ISBN: 13: 978-0387989815 – 1st ed. – © 2000 – 561 pages

Diophantine geometry is the study of integral and rational points to systems of polynomial equations using ideas and techniques from algebraic number theory and algebraic geometry. The ultimate goal is to describe the solutions in terms of geometric invariants of the underlying algebraic variety. This book contains complete proofs of four of the fundamental finiteness theorems in Diophantine geometry.

Also included are a lengthy overview (with sketched or omitted proofs) of algebraic geometry, a detailed development of the theory of height functions, a discussion of further results and open problems, numerous exercises, and a comprehensive index.


Errata List for Diophantine Geometry

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