Sen Yang
Published 2016-06-10Version 1
Based on the infinitesimal methods due to Bloch. Green and Griffiths, we construct an infinitesimal form of the regulator map and verify that its kernel is $\Omega^{1}_{\mathbb{C}/\mathbb{Q}}$, which suggests Question 1.1 seems reasonable at the infinitesimal level.
Relative cycles with moduli and regulator maps
Regulator Maps for Higher Chow Groups via Current Transforms
On the image of the Abel-Jacobi map
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