Arithmetic Theory of Elliptic Curves
Lectures given at the 3rd Session of the Centro Internazionale Matematico Estivo (C.I.M.E.)held in Cetaro, Italy, July 12-19, 1997
Authors: Coates, J., Greenberg, R., Ribet, K.A., Rubin, K.
Editors: Viola, C. (Ed.)
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- About this book
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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.
- Table of contents (4 chapters)
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Fragments of the GL2 Iwasawa theory of elliptic curves without complex multiplication
Pages 1-50
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Iwasawa theory for elliptic curves
Pages 51-144
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Torsion points on J 0(N) and Galois representations
Pages 145-166
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Elliptic curves with complex multiplication and the conjecture of Birch and Swinnerton-Dyer
Pages 167-234
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Table of contents (4 chapters)
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Bibliographic Information
- Bibliographic Information
-
- Book Title
- Arithmetic Theory of Elliptic Curves
- Book Subtitle
- Lectures given at the 3rd Session of the Centro Internazionale Matematico Estivo (C.I.M.E.)held in Cetaro, Italy, July 12-19, 1997
- Authors
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- J. Coates
- R. Greenberg
- K.A. Ribet
- K. Rubin
- Editors
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- C. Viola
- Series Title
- C.I.M.E. Foundation Subseries
- Series Volume
- 1716
- Copyright
- 1999
- Publisher
- Springer-Verlag Berlin Heidelberg
- Copyright Holder
- Springer-Verlag Berlin Heidelberg
- eBook ISBN
- 978-3-540-48160-7
- DOI
- 10.1007/BFb0093451
- Softcover ISBN
- 978-3-540-66546-5
- Edition Number
- 1
- Number of Pages
- VIII, 264
- Topics
