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- Title
On Goncharov’s Regulator and Higher Arithmetic Chow Groups.
- Authors
Gil, José Ignacio Burgos; Feliu, Elisenda; Takeda, Yuichiro
- 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.
- Subjects
BEILINSON'S conjectures; ARITHMETIC; VARIETIES (Universal algebra); COHOMOLOGY theory; REGULATORS (Mathematics); COMPARATIVE studies
- Publication
IMRN: International Mathematics Research Notices, 2011, Vol 2011, Issue 1, p40
- ISSN
1073-7928
- Publication type
Article
- DOI
10.1093/imrn/rnq066