Lectures on the Mordell-Weil Theorem: Edition 3

· Aspects of Mathematics Book 15 · Springer Science & Business Media
Ebook
218
Pages

About this ebook

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.

About the author

Professor Jean-Pierre Serre ist ein renommierter französischer Mathematiker am Collège de France, Paris.

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