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The relative Chern character and regulators



URN to cite this document: urn:nbn:de:bvb:355-epub-155956

Tamme, Georg (2010) The relative Chern character and regulators. PhD, Universität Regensburg

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Abstract (English)

In this thesis we give a modified construction of Karoubi's relative Chern character for smooth varieties over the complex numbers or the ring of integers in a p-adic number field. We prove comparison results with the Chern character in Deligne-Beilinson cohomology and with the p-adic Borel regulator. As a corollary we obtain a new proof of Burgos' theorem that Borel's regulator is twice Beilinson's regulator.

Translation of the abstract (German)

Wir beschreiben eine modifizierte Version Karoubis relativen Chern-Charakters für glatte Varietäten über den komplexen Zahlen oder dem Ganzheitsring eines p-adischen Zahlkörpers und beweisen Vergleichssätze mit dem Chern-Charakter in Deligne-Beilinson-Kohomologie sowie mit dem p-adischen Borelregulator. Als Korollar erhalten wir einen neuen Beweis Burgos' Vergleichssatzes zwischen Beilinsons und Borels Regulator.

Item Type:Thesis of the University of Regensburg (PhD)
Referee:Prof. Dr. Guido Kings and Prof. Amnon Besser
Date of exam:30 June 2010
Institutions: Mathematics > Prof. Dr. Guido Kings
Keywords:relative Chern character, Deligne cohomology, regulator
Subjects:500 Science > 510 Mathematics
Status:Published
Refereed:Yes, this version has been refereed
Created at the University of Regensburg:Yes
Owner:Universitätsbibliothek Regensburg
Deposited On:15 Jul 2010 18:14
Last Modified:21 Jul 2011 00:31
Item ID:15595
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