A p-adic analogue of the Borel regulator and the Bloch-Kato exponential map, by Annette Huber and Guido Kings

In this paper we define a p-adic analogue of the Borel regulator for the K-theory of p-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 p-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.


Annette Huber <huber@mathematik.uni-leipzig.de>
Guido Kings <guido.kings@mathematik.uni-regensburg.de>