Lectures on the Mordell-Weil Theorem (Aspects of Mathematics)
Description
The book is based on a course given by J.-P. Serre at the Collège 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.
Keywords
ReferenceResearch
1997Book
Author(s)Jean-Pierre Serre
PublisherVieweg+Teubner Verlag
ISBN9783528289683
LanguageEnglish
