This article is cited in 2 papers

Integral Regulators for Higher Chow Complexes

Muxi Li

University of Science and Technology, Hefei, Anhui, P.R. China

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.

MSC: 14C15; 14C25; 19F27

Received: May 12, 2018; in final form October 31, 2018; Published online November 3, 2018

Language: English

DOI: 10.3842/SIGMA.2018.118

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ArXiv: 1805.04646