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arXiv:math/0504086 [math.AG]AbstractReferencesReviewsResources

Higher Abel-Jacobi maps for 0-cycles

Matt Kerr

Published 2005-04-05, updated 2006-03-13Version 2

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.

Comments: 58 pages, 1 figure; new section 16
Categories: math.AG, math.DG
Subjects: 14C25, 14C30, 14C35, 19D45
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