Lectures on the Mordell-Weil Theorem |
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| Author:
| Serre, Jean-Pierre |
| Editor:
| Brown, Martin L. |
| Translator:
| Waldschmidt, Michel |
| Series title: | Aspects of Mathematics Ser. |
| ISBN: | 978-3-528-28968-3 |
| Publication Date: | Apr 1997 |
| Publisher: | Vieweg Verlag, Friedr, & Sohn Verlagsgesellschaft mbH
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| Book Format: | Hardback |
| List Price: | USD $99.00 |
Book Description:
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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.
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.