On Goncharov's regulator and higher arithmetic Chow groups

J. I. Burgos Gil; Elisenda Feliu; Y. Takeda

doi:10.1093/imrn/rnq066

On Goncharov's regulator and higher arithmetic Chow groups

J. I. Burgos Gil, Elisenda Feliu, Y. Takeda

Department of Mathematical Sciences

4 Citations (Scopus)

Abstract

In this paper, we show that the regulator defined by Goncharov in [10] 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 Gil and Feliu in [5]. 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 Gil and Feliu.

Original language	Undefined/Unknown
Journal	International Mathematics Research Notices
Issue number	1
Pages (from-to)	40-73
Number of pages	34
ISSN	1073-7928
DOIs	https://doi.org/10.1093/imrn/rnq066
Publication status	Published - 1 Jan 2011

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10.1093/imrn/rnq066

http://imrn.oxfordjournals.org/content/2011/1/40.abstract

Cite this

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