On Kernel of the regulator map
arXiv:1606.03221
Abstract
By using the infinitesimal methods due to Bloch, Green and Griffiths, we construct an infinitesimal form of the regulator map and verify that its kernel is $Ω^{1}_{\mathbb{C}/\mathbb{Q}}$, which suggests Question 1.1 seems reasonable at the infinitesimal level.
Minor revision