2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/101177Starting from the candidate Bloch-Beilinson filtration on Chow groups of 0-cycles constructed by J. Lewis, we develop and describe geometrically a series of Hodge-theoretic invariants defined on the graded pieces. Explicit formulas (in terms of currents and membrane integrals) are given for certain quotients of the invariants, with applications to 0-cycles on products of curves.58 pages, 1 figure; new section 16Algebraic GeometryDifferential Geometry14C25, 14C30, 14C35, 19D45Higher Abel-Jacobi maps for 0-cyclestext