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Higher Abel-Jacobi maps for 0-cycles

Published online by Cambridge University Press:  07 January 2008

Matt Kerr
Matt Kerr
Affiliation:
matthew.kerr@durham.ac.ukDepartment of Mathematics, University of Durham, Durham, DH1 1JLEngland
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Abstract

Starting from the candidate Bloch-Beilinson filtration on constructed in [L2], we develop and describe geometrically a series of Hodgetheoretic invariants Ψi defined on the graded pieces. Explicit formulas (in terms of currents and membrane integrals) are given for certain quotients of the Ψi, with applications to 0-cycles on products of curves.

Keywords

Chow grouphigher Abel-Jacobi mapMilnor K-theoryregulatordifferential character
Type
Research Article
Information
Journal of K-Theory , Volume 2 , Issue 1 , August 2008 , pp. 41 - 101
Copyright
Copyright © ISOPP 2008

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