A $p$-adic analogue of the Borel regulator and the Bloch-Kato exponential map
Number Theory
2011-01-12 v1 K-Theory and Homology
Abstract
In this paper we define a -adic analogue of the Borel regulator for the -theory of -adic fields. The van Est isomorphism in the construction of the classical Borel regulator is replaced by the Lazard isomorphism. The main result relates this -adic regulator to the Bloch-Kato exponential and the Soul\'e regulator. On the way we give a new description of the Lazard isomorphism for certain formal groups.
Cite
@article{arxiv.math/0612611,
title = {A $p$-adic analogue of the Borel regulator and the Bloch-Kato exponential map},
author = {Annette Huber and Guido Kings},
journal= {arXiv preprint arXiv:math/0612611},
year = {2011}
}
Comments
38 pages