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Lectures on the Mordell-Weil Theorem Jean Pierre Serre

Lectures on the Mordell-Weil Theorem By Jean Pierre Serre

Lectures on the Mordell-Weil Theorem by Jean Pierre Serre


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Lectures on the Mordell-Weil Theorem Summary

Lectures on the Mordell-Weil Theorem by Jean Pierre Serre

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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.

Additional information

NLS9783528089689
9783528089689
3528089687
Lectures on the Mordell-Weil Theorem by Jean Pierre Serre
New
Paperback
Springer Fachmedien Wiesbaden
1989-01-01
220
N/A
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