1.

Record Nr.

UNINA9910146312103321

Autore

Coates John H.

Titolo

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 / / John H. Coates [and three others] ; edited by Carlo Viola

Pubbl/distr/stampa

Berlin, Heidelberg : , : Springer-Verlag, , [1999]

©1999

ISBN

3-540-48160-5

Edizione

[1st ed. 1999.]

Descrizione fisica

1 online resource (VIII, 264 p.)

Collana

Lecture Notes in Mathematics ; ; 1716

Disciplina

510

Soggetti

Mathematics

Number theory

Geometry, Algebraic

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Bibliographic Level Mode of Issuance: Monograph

Nota di contenuto

Fragments of the GL2 Iwasawa theory of elliptic curves without complex multiplication -- Iwasawa theory for elliptic curves -- Torsion points on J 0(N) and Galois representations -- Elliptic curves with complex multiplication and the conjecture of Birch and Swinnerton-Dyer.

Sommario/riassunto

This volume contains the expanded versions of the lectures given by the authors at the C.I.M.E. instructional conference held in Cetraro, Italy, from July 12 to 19, 1997. The papers collected here are broad surveys of the current research in the arithmetic of elliptic curves, and also contain several new results which cannot be found elsewhere in the literature. Owing to clarity and elegance of exposition, and to the background material explicitly included in the text or quoted in the references, the volume is well suited to research students as well as to senior mathematicians.