Huber, Annette and Kings, Guido (2011) A p-ADIC ANALOGUE OF THE BOREL REGULATOR AND THE BLOCH-KATO EXPONENTIAL MAP. JOURNAL OF THE INSTITUTE OF MATHEMATICS OF JUSSIEU, 10 (1). pp. 149-190. ISSN 1474-7480,
Full text not available from this repository. (Request a copy)Abstract
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 Soule regulator. On the way we give a new description of the Lazard isomorphism for certain formal groups. We also show that the Soule regulator is induced by continuous and even analytic classes.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | SYNTOMIC REGULATORS; K-THEORY; HOMOLOGY; p-adic regulator; Borel regulator; syntomic cohomology; continuous group cohomology; Lie algebra cohomology; Lazard isomorphism |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Prof. Dr. Guido Kings |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 01 Jul 2020 05:42 |
| Last Modified: | 01 Jul 2020 05:43 |
| URI: | https://pred.uni-regensburg.de/id/eprint/21618 |
Actions (login required)
 |
View Item |
