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Lectures on the Mordell-Weil Theorem

Lectures on the Mordell-Weil Theorem

Paperback

Series: Aspects of Mathematics, Book 15

Technology & Engineering

ISBN10: 3663106349
ISBN13: 9783663106340
Publisher: Vieweg+teubner Verlag
Published: Nov 13 2013
Pages: 218
Weight: 0.83
Height: 0.49 Width: 6.69 Depth: 9.61
Language: English
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.

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