Arithmetic theory of elliptic curves: lectures given at the 3rd session of the Centro internazionale matematico estivo (C.I.M.E.), held in Cetraro, Italy, July 12-19, 1997 / C. Viola

Collectivité principale: Centro internazionale matematico estivo (CIME), Cetraro, Italy (1997) Auteur secondaire : Viola, Carlo - Editeur scientifiqueType de document: Livre numériqueCollection: Lecture notes in mathematics, (Online) ; 1716Langue: anglaisÉditeur: Berlin : Springer, 1999 ISBN: 9783540665465 ISSN: 1617-9692Note: Contents: John Coates, Fragments of the GL2 Iwasawa theory of elliptic curves without complex multiplication (1–50); Ralph Greenberg, Iwasawa theory for elliptic curves (51–144); Kenneth A. Ribet, Torsion points on J0(N) and Galois representations (145–166); Karl Rubin, Elliptic curves with complex multiplication and the conjecture of Birch and Swinnerton-Dyer (167–234). Sujets MSC: 11G05 Number theory -- Arithmetic algebraic geometry (Diophantine geometry) -- Elliptic curves over global fields
11R23 Number theory -- Algebraic number theory: global fields -- Iwasawa theory
14H52 Algebraic geometry -- Curves -- Elliptic curves
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Contents: John Coates, Fragments of the GL2 Iwasawa theory of elliptic curves without complex multiplication (1–50); Ralph Greenberg, Iwasawa theory for elliptic curves (51–144); Kenneth A. Ribet, Torsion points on J0(N) and Galois representations (145–166); Karl Rubin, Elliptic curves with complex multiplication and the conjecture of Birch and Swinnerton-Dyer (167–234).

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