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Lectures on the Mordell-Weil theorem

By: Contributor(s): Material type: TextTextLanguage: English Series: Aspects of mathematics ; Vol. E 15Publication details: Braunschweig F. Vieweg 1997Edition: 3rd edDescription: x, 218p. illISBN:
  • 3528289686 (HB)
Subject(s): Summary: 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.
Item type: BOOKS
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Home library Call number Materials specified Status Date due Barcode
IMSc Library 512.7+511 SER (Browse shelf(Opens below)) Available 44008

Notes by Michel Waldschmidt

Includes index

Includes bibliography (p. 200-209) and 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.

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The Institute of Mathematical Sciences, Chennai, India