Vol. 306, No. 2, 2020

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Two applications of the integral regulator

Matt Kerr and Muxi Li

Vol. 306 (2020), No. 2, 539–556
Abstract

We review Li’s refinement of the KLM regulator map, and use it to detect torsion phenomena in higher Chow groups of number fields and families of elliptic curves.

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Keywords
higher Chow group, regulator map, normal function, integral regulator
Mathematical Subject Classification 2010
Primary: 14C25, 14C30, 19E15
Milestones
Received: 1 March 2019
Revised: 4 July 2019
Accepted: 2 January 2020
Published: 13 July 2020
Authors
Matt Kerr
Department of Mathematics
Washington University in St. Louis
St. Louis, MO
United States
Muxi Li
School of Mathematical Sciences
University of Science and Technology of China
Hefei
China