The book is based on a course given by J.-P. Serre at the College de France in 1980 and 1981. Basic techniques in Diophantine geometry are covered, such as heights, the Mordell-Weil theorem, Siegel's and Baker's theorems, Hilbert's irreducibility theorem, and the large sieve. Included are applications to, for example, Mordell's conjecture, the construction of Galois extensions, and the classical class number 1 problem. Comprehensive bibliographical references.
- ISBN10 3528289686
- ISBN13 9783528289683
- Publish Date 27 February 1997 (first published 2 August 1989)
- Publish Status Out of Print
- Out of Print 1 March 2015
- Publish Country DE
- Imprint Friedrich Vieweg & Sohn Verlagsgesellschaft mbH
- Edition 3rd Revised edition
- Format Hardcover
- Pages 228
- Language English