London Mathematical Society Student Texts 24: Lectures on Elliptic Curves - Brossura

Cassels, J.W. S.

Brossura

ISBN 10: 0521425301 ISBN 13: 9780521425308

Casa editrice: Cambridge University Press, 1991

Riassunto

A self-contained introductory text for beginning graduate students that is contemporary in approach without ignoring historical matters.

Su questo libro

Recensione

'... an excellent introduction ... written with humour.' Monatshefte für Mathematik

Contenuti

Introduction; 1. Curves of genus: introduction; 2. p-adic numbers; 3. The local-global principle for conics; 4. Geometry of numbers; 5. Local-global principle: conclusion of proof; 6. Cubic curves; 7. Non-singular cubics: the group law; 8. Elliptic curves: canonical form; 9. Degenerate laws; 10. Reduction; 11. The p-adic case; 12. Global torsion; 13. Finite basis theorem: strategy and comments; 14. A 2-isogeny; 15. The weak finite basis theorem; 16. Remedial mathematics: resultants; 17. Heights: finite basis theorem; 18. Local-global for genus principle; 19. Elements of Galois cohomology; 20. Construction of the jacobian; 21. Some abstract nonsense; 22. Principle homogeneous spaces and Galois cohomology; 23. The Tate-Shafarevich group; 24. The endomorphism ring; 25. Points over finite fields; 26. Factorizing using elliptic curves; Formulary; Further reading; Index.

Dettagli dell'edizione

• Editore: Cambridge University Press
• Data di pubblicazione: 1991
• Lingua: Inglese
• ISBN 10: 0521425301
• ISBN 13: 9780521425308
• Rilegatura: Copertina flessibile
• Numero di pagine: 144
• Contatto del produttore: non disponibile
• Persona responsabile: Avery; https://www.avery.fr/; ; chemin des peupliers 27; Dardilly; Francia