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On Rubin’s variant of the p-adic Birch and Swinnerton-Dyer conjecture

Part of: Arithmetic algebraic geometry Algebraic number theory: global fields

Published online by Cambridge University Press:  01 November 2007

A. Agboola
A. Agboola*
Affiliation:
Department of Mathematics, University of California, Santa Barbara, CA 93106, USA (email: agboola@math.ucsb.edu)
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Abstract

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We study Rubin’s variant of the p-adic Birch and Swinnerton-Dyer conjecture for CM elliptic curves concerning certain special values of the Katz two-variable p-adic L-function that lie outside the range of p-adic interpolation.

Keywords

Rubinp-adic L-functionBirch and Swinnerton-Dyer conjectureelliptic curveMazur–Tate–Teitelbaum

MSC classification

Secondary: 11G05: Elliptic curves over global fields 11R23: Iwasawa theory 11G16: Elliptic and modular units
Type
Research Article
Information
Compositio Mathematica , Volume 143 , Issue 6 , November 2007 , pp. 1374 - 1398
Copyright
Copyright © Foundation Compositio Mathematica 2007