Higher Abel-Jacobi maps for 0-cycles

Details Higher Abel-Jacobi maps for 0-cycles Higher Abel-Jacobi maps for 0-cycles

2005-04-05

arxiv.org/abs/math/0504086v2

Mathematics

Algebraic Geometry

58 pages, 1 figure; new section 16

Scientific paper

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.

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