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Lectures on the Mordell-Weil Theorem

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Synopsis

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.

Book details

Edition:
3rd ed. 1997
Series:
Aspects of Mathematics (Book 15)
Author:
Jean-P. Serre
ISBN:
9783663106326
Related ISBNs:
9783528289683
Publisher:
Vieweg+Teubner Verlag
Pages:
N/A
Reading age:
Not specified
Includes images:
No
Date of addition:
2022-08-04
Usage restrictions:
Copyright
Copyright date:
1997
Copyright by:
N/A 
Adult content:
No
Language:
English
Categories:
Nonfiction, Technology