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Higher Abel-Jacobi maps for 0-cycles

Matt Kerr
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Abstract

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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Matt Kerr. 2006-03-13. Higher Abel-Jacobi maps for 0-cycles. https://arxiv.org/abs/math/0504086

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