CaltechAUTHORS
Published July 2012 | Version public
Journal Article Metadata-only

Karoubi's relative Chern character and Beilinson's regulator

Creators

Abstract

We construct a variant of Karoubi's relative Chern character for smooth varieties over C and prove a comparison result with Beilinson's regulator with values in Deligne-Beilinson cohomology. As a corollary we obtain a new proof of Burgos' Theorem that for number fields Borel's regulator is twice Beilinson's regulator.

Additional Information

© 2012 Société Mathématique de France. Manuscrit reçu le 16 Mars 2011; accepté, aprés révision, le 17 Janvier 2012. Partially supported by the DFG Forschergruppe FOR 570.

Additional details

Identifiers

Eprint ID
37940
Resolver ID
CaltechAUTHORS:20130415-111929308

Funding

Deutsche Forschungsgemeinschaft (DFG) Forschergruppe
FOR 570

Dates

Created
2013-04-15
Created from EPrint's datestamp field
Updated
2019-10-03
Created from EPrint's last_modified field