Integral Regulators for Higher Chow Complexes

[摘要] 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.

[关键词] integral regulator;higher Chow groups;algebraic cycles;Abel–Jacobi map