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On the Étale K-Theory of an Elliptic Curve with Complex Multiplication for Regular Primes

Published online by Cambridge University Press:  20 November 2018

Kay Wingberg
Kay Wingberg*
Affiliation:
Mathematisches Institut, der Universität Heidelberg, D - 6900 Heidelberg, West-Germany
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Abstract

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Generalizing a result of Soulé we prove that for an elliptic curve E defined over an imaginary quadratic field K with complex multiplication having good ordinary reduction at the prime number p > 3 which is regular for E and the extension F of K contained in K(Ep) the dimensions of the étale K-groups are equal to the numbers predicted by Bloch and Beilinson, i.e.,

Keywords

11G0519E0819E20
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 33 , Issue 2 , 01 June 1990 , pp. 145 - 150
Copyright
Copyright © Canadian Mathematical Society 1990

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