On Goncharov's regulator and higher arithmetic Chow groups
Algebraic Geometry
2009-09-30 v1
Abstract
In this paper we show that the regulator defined by Goncharov from higher algebraic Chow groups to Deligne-Beilinson cohomology agrees with Beilinson's regulator. We give a direct comparison of Goncharov's regulator to the construction given by Burgos and Feliu. As a consequence, we show that the higher arithmetic Chow groups defined by Goncharov agree, for all projective arithmetic varieties over an arithmetic field, with the ones defined by Burgos and Feliu.
Cite
@article{arxiv.0909.5296,
title = {On Goncharov's regulator and higher arithmetic Chow groups},
author = {J. I. Burgos Gil and E. Feliu and Y. Takeda},
journal= {arXiv preprint arXiv:0909.5296},
year = {2009}
}