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Published July 2012 | public
Journal Article

Karoubi's relative Chern character and Beilinson's regulator

Tamme, Georg

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

Created:
August 19, 2023
Modified:
October 23, 2023