Lectures on the Mordell-Weil Theorem
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| Other Authors: | |
| Format: | eBook |
| Language: | English |
| Published: |
Wiesbaden
Vieweg+Teubner Verlag
1997, 1997
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| Edition: | 3rd ed. 1997 |
| Series: | Aspects of Mathematics
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| Subjects: | |
| Online Access: | |
| Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
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
- A.1. Historical remarks
- A.4. Elliptic curves with complex multiplication
- A.5. Modular curves associated to normalisers of Cartan subgroups and their CM integral points
- A.6. Examples
- A.7. The Gel’fond-Linnik-Baker method