2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/72401We 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 figureAlgebraic Geometry14C25, 14C30, 14C35, 19E15The Abel-Jacobi map for higher Chow groupstext