The Abel-Jacobi map for higher Chow groups
Algebraic Geometry
2007-05-23 v1
Abstract
We construct a map between Bloch's higher Chow groups and Deligne homology for smooth, complex quasiprojective varieties on the level of complexes. For complex projective varieties this results in a formula which generalizes at the same time the classical Griffiths Abel-Jacobi map and the Borel/Beilinson/Goncharov regulator type maps.
Cite
@article{arxiv.math/0409116,
title = {The Abel-Jacobi map for higher Chow groups},
author = {Matt Kerr and James Lewis and Stefan Müller-Stach},
journal= {arXiv preprint arXiv:math/0409116},
year = {2007}
}
Comments
29 pages, 1 figure