The Abel-Jacobi map for higher Chow groups

Details The Abel-Jacobi map for higher Chow groups The Abel-Jacobi map for higher Chow groups

2004-09-07

arxiv.org/abs/math/0409116v1

Mathematics

Algebraic Geometry

29 pages, 1 figure

Scientific paper

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.

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