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On p-adic height pairings and locally free classgroups of Hopf orders

Published online by Cambridge University Press:  01 May 1998

A. AGBOOLA
A. AGBOOLA
Affiliation:
Department of Mathematics, University of California, Santa Barbara, CA 93106, USA; e-mail: [email protected]
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Abstract

Let E be an elliptic curve with complex multiplication by the ring of integers [Ofr ] of an imaginary quadratic field K. The purpose of this paper is to describe certain connections between the arithmetic of E on the one hand and the Galois module structure of certain arithmetic principal homogeneous spaces arising from E on the other. The present paper should be regarded as a complement to [AT]; we assume that the reader is equipped with a copy of the latter paper and that he is not averse to referring to it from time to time.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 123 , Issue 3 , May 1998 , pp. 447 - 459
Copyright
Cambridge Philosophical Society 1998

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