A p-adic analogue of the Borel regulator and the Bloch–Kato exponential map

Autor:	Guido Kings, Annette Huber
Rok vydání:	2010
Předmět:	Discrete mathematics General Mathematics Lie algebra cohomology Regulator Formal group Isomorphism Exponential map (Lie theory) Mathematics Exponential function
Zdroj:	Journal of the Institute of Mathematics of Jussieu. 10:149-190
ISSN:	1475-3030 1474-7480
DOI:	10.1017/s1474748010000216
Popis:	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 Soulé regulator. On the way we give a new description of the Lazard isomorphism for certain formal groups. We also show that the Soulé regulator is induced by continuous and even analytic classes.
Databáze:	OpenAIRE
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