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Lectures on the Mordell-Weil Theorem

Lectures on the Mordell-Weil Theorem
Catalogue Information
Nome campo dettagli
Dewey Class 620
Titolo Lectures on the Mordell-Weil Theorem ([EBook]) / by Jean-Pierre Serre ; edited by Martin Brown.
Autore Serre, Jean-Pierre , 1926-
Added Personal Name Brown, Martin editor.
Other name(s) SpringerLink (Online service)
Edition statement 3rd edition.
Pubblicazione Wiesbaden : Vieweg+Teubner Verlag , 1997.
Physical Details X, 218 p. : online resource.
Serie Aspects of mathematics 0179-2156 ; ; 15
ISBN 9783663106326
Contents note 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.
System details note Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site http://dx.doi.org/10.1007/978-3-663-10632-6
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