Annual Member
| Author | Serre, Jean-Pierre. author |
|---|---|
| Title | Lectures on the Mordell-Weil Theorem [electronic resource] / by Jean-Pierre Serre ; edited by Martin Brown |
| Imprint | Wiesbaden : Vieweg+Teubner Verlag : Imprint: Vieweg+Teubner Verlag, 1997 |
| Edition | 3rd edition |
| Connect to | http://dx.doi.org/10.1007/978-3-663-10632-6 |
| Descript | X, 218 p. online resource |
1. Summary -- 2. Heights -- 3. Normalised heights -- 4. The Mordell-Weil theorem -- 5. Mordellโs conjecture -- 6. Local calculation of normalised heights -- 7. Siegelโs method -- 8. Bakerโs method -- 9. Hilbertโs 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 Gelโfond-Linnik-Baker method
