The Relative Chern Character and Regulators
K-Theory and Homology
2010-07-09 v1 Algebraic Geometry
Number Theory
Abstract
In this thesis we construct a modified version of Karoubi's relative Chern character for smooth varieties over the complex numbers or the ring of integers in a p-adic number field. Comparison results with the Deligne-Beilinson Chern character and the p-adic Borel regulator constructed by Huber and Kings are proven. As a corollary we obtain a new proof of Burgos' theorem that Borel's regulator is twice Beilinson's regulator.
Keywords
Cite
@article{arxiv.1007.1385,
title = {The Relative Chern Character and Regulators},
author = {Georg Tamme},
journal= {arXiv preprint arXiv:1007.1385},
year = {2010}
}
Comments
doctoral thesis, University of Regensburg, 144 pages