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On p-adic height pairings and locally free classgroups of Hopf orders
- Source :
- Mathematical Proceedings of the Cambridge Philosophical Society. 123:447-459
- Publication Year :
- 1998
- Publisher :
- Cambridge University Press (CUP), 1998.
-
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.
Details
- ISSN :
- 14698064 and 03050041
- Volume :
- 123
- Database :
- OpenAIRE
- Journal :
- Mathematical Proceedings of the Cambridge Philosophical Society
- Accession number :
- edsair.doi...........ba7e7986a1f3b46010aa4db9dddf585b