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Lectures on the Mordell-Weil Theorem

Jean-P. Serre

出版	Springer Science & Business Media, 2013-06-29
主題	Technology & Engineering / GeneralTechnology & Engineering / Engineering (General)
ISBN	36631063229783663106326
URL	http://books.google.com.hk/books?id=pbbrCAAAQBAJ&hl=&source=gbs_api
EBook	SAMPLE

註釋

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.