The Abel-Jacobi map for higher Chow groups

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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.
29 pages, 1 figure

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Algebraic Geometry, 14C25, 14C30, 14C35, 19E15

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http://salesiana.dossiersoluciones.com/handle/123456789/72401

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0409116
 http://arxiv.org/abs/math/0409116

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arXiv