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Inhaltsverzeichnis1. 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.
Nákup knihy
Lectures on the Mordell-Weil theorem, Jean-Pierre Serre
- Jazyk
- Rok vydania
- 1989
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- Titul
- Lectures on the Mordell-Weil theorem
- Jazyk
- nemecky
- Autori
- Jean-Pierre Serre
- Vydavateľ
- Vieweg
- Rok vydania
- 1989
- ISBN10
- 3528089687
- ISBN13
- 9783528089689
- Kategórie
- Matematika
- Anotácia
- Inhaltsverzeichnis1. 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.