Higher Abel-Jacobi maps for 0-cycles
Abstract
Description
Starting 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 16
58 pages, 1 figure; new section 16