The Relative Chern Character and Regulators

Details The Relative Chern Character and Regulators The Relative Chern Character and Regulators

2010-07-08

arxiv.org/abs/1007.1385v1

Mathematics

K-Theory and Homology

doctoral thesis, University of Regensburg, 144 pages

Scientific paper

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.

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