Article contents
Kummer theory for big Galois representations
Published online by Cambridge University Press: 10 April 2007
Abstract
In their 1990 paper, Bloch and Kato described the image of the Kummer map on an abelian variety over a local field, as the group of 1-cocycles which trivialise after tensoring by Fontaine's mysterious ring BdR. We prove the analogue of this statement for the universal nearly-ordinary Galois representation. The proof uses a generalisation of the Tate local pairing to representations over affinoid K-algebras.
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 142 , Issue 2 , March 2007 , pp. 205 - 217
- Copyright
- Copyright © Cambridge Philosophical Society 2007
References
REFERENCES
- 1
- Cited by