On p-adic height pairings and locally free classgroups of
Hopf orders
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Published:1998-05
Issue:3
Volume:123
Page:447-459
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ISSN:0305-0041
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Container-title:Mathematical Proceedings of the Cambridge Philosophical Society
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language:en
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Short-container-title:Math. Proc. Camb. Phil. Soc.
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.
Publisher
Cambridge University Press (CUP)
Subject
General Mathematics