KAROUBI'S RELATIVE CHERN CHARACTER AND BEILINSON'S REGULATOR

Tamme, Georg (2012) KAROUBI'S RELATIVE CHERN CHARACTER AND BEILINSON'S REGULATOR. ANNALES SCIENTIFIQUES DE L ECOLE NORMALE SUPERIEURE, 45 (4). pp. 601-636. ISSN 0012-9593, 1873-2151

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Abstract

We construct a variant of Karoubi's relative Chem 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.

Item Type: Article
Uncontrolled Keywords: K-THEORY;
Subjects: 500 Science > 510 Mathematics
Divisions: Mathematics
Depositing User: Dr. Gernot Deinzer
Date Deposited: 11 May 2020 09:55
Last Modified: 11 May 2020 09:55
URI: https://pred.uni-regensburg.de/id/eprint/18462

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