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 / J. Coates [and others] ; editor, C. Viola.
Contributor(s): Coates, J. (John) | Viola, C. (Carlo) | Centro internazionale matematico estivoMaterial type: TextSeries: Lecture notes in mathematics (Springer-Verlag): 1716.Publisher: Berlin ; New York : Springer, ©1999Description: 1 online resource (viii, 260 pages)Content type: text Media type: computer Carrier type: online resourceISBN: 9783540481607; 3540481605Subject(s): Curves, Elliptic -- Congresses | Curves, Elliptic | Elliptische oppervlakken | Geometria algebricaGenre/Form: Electronic books. | Conference papers and proceedings. Additional physical formats: Print version:: Arithmetic theory of elliptic curves.DDC classification: 510 s | 516.3/52 LOC classification: QA3 | .L28 no. 1716 | QA567.2.E44Online resources: Click here to access online
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Includes bibliographical references.
Fragments of the GL₂ Iwasawa theory of elliptic curves without complex multiplication / John Coates -- Iwasawa theory for elliptic curves / Ralph Greenberg -- Torsion points on J₀(N) and Galois representations / Kenneth A. Ribet -- Elliptic curves with complex multiplication and the conjecture of Birch and Swinnerton-Dyer / Karl Rubin.
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.