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The relative Chern character and regulators
Tamme, Georg (2010) The relative Chern character and regulators. PhD, Universität Regensburg.Date of publication of this fulltext: 15 Jul 2010 16:14
Thesis of the University of Regensburg
DOI to cite this document: 10.5283/epub.15595
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.
Involved Institutions
Details
| 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 |
| URN of the UB Regensburg | urn:nbn:de:bvb:355-epub-155956 |
| Item ID | 15595 |
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