Bloch-Kato exponential maps for local fields with imperfect residue fields
Number Theory
2014-02-26 v1
Abstract
In this paper, we generalise the construction of the Bloch-Kato exponential map to complete discrete valuation fields of mixed characteristic (0,p) whose residue fields have a finite p-basis. As an application we prove an explicit reciprocity law, extending a result of Cherbonnier and Colmez in the classical case. This result relies on the calculation of the Galois cohomology of a p-adic representation V in terms of its (phi,G)-module.
Keywords
Cite
@article{arxiv.0806.2122,
title = {Bloch-Kato exponential maps for local fields with imperfect residue fields},
author = {Sarah Livia Zerbes},
journal= {arXiv preprint arXiv:0806.2122},
year = {2014}
}
Comments
23 pages, generalisation of my previous results for higher dimensional local fields