Lectures on the Mordell-Weil theorem
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Bibliographic Information
Lectures on the Mordell-Weil theorem
（Aspects of mathematics = Aspekte der Mathematik, v. E15）
Springer Fachmedien Wiesbaden GmbH, c1989
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Autour du théorème de Mordell-Weil
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Note
Originally published by Friedr. Vieweg & Sohn Verlagsgesellschaft mbH, Braunschweig in 1989.
Bibliography: p. 200-209
Includes index
Description and Table of Contents
Table of Contents
1. Summary.- 2. Heights.- 3. Normalised heights.- 4. The Mordell-Weil theorem.- 5. Mordell's conjecture.- 6. Local calculation of normalised heights.- 7. Siegel's method.- 8. Baker's method.- 9. Hilbert's irreducibility theorem.- 10. Construction of Galois extensions.- 11. Construction of elliptic curves of large rank.- 12. The large sieve.- 13. Applications of the large sieve to thin sets.- Appendix: The class number 1 problem and integral points on modular curves.
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