Tamme, Georg (2010) The relative Chern character and regulators. PhD, Universität Regensburg.
| License: Publishing license for publications including print on demand Download (867kB) |
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.
Export bibliographical data
| Item type: | Thesis of the University of Regensburg (PhD) |
|---|---|
| Date: | 15 July 2010 |
| 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 |
| Dewey Decimal Classification: | 500 Science > 510 Mathematics |
| Status: | Published |
| Refereed: | Yes, this version has been refereed |
| Created at the University of Regensburg: | Yes |
| Item ID: | 15595 |
Download Statistics
Download Statistics