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Symmetry, Integrability and Geometry: Methods and Applications, 2018, Volume 14, 118, 12 pp.
DOI: https://doi.org/10.3842/SIGMA.2018.118 (Mi sigma1417) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Integral Regulators for Higher Chow Complexes

Muxi Li

University of Science and Technology, Hefei, Anhui, P.R. China
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DOI: https://doi.org/10.3842/SIGMA.2018.118
Abstract: Building on Kerr, Lewis and Müller–Stach's work on the rational regulator, we prove the existence of an integral regulator on higher Chow complexes and give an explicit expression. This puts firm ground under some earlier results and speculations on the torsion in higher cycle groups by Kerr–Lewis–Müller-Stach, Petras, and Kerr–Yang.
Keywords: integral regulator; higher Chow groups; algebraic cycles; Abel–Jacobi map.
Funding agency Grant number
National Science Foundation DMS-1361147
This work was supported by the National Science Foundation [DMS-1361147; PI: Matt Kerr].
Received: May 12, 2018; in final form October 31, 2018; Published online November 3, 2018
Bibliographic databases:
Document Type: Article
MSC: 14C15; 14C25; 19F27
Language: English
Citation: Muxi Li, “Integral Regulators for Higher Chow Complexes”, SIGMA, 14 (2018), 118, 12 pp.
Citation in format AMSBIB
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