Abstract
We explain the theory of refined cycle maps associated to arithmetic mixed sheaves. This includes the case of arithmetic mixed Hodge structures, and is closely related to work of Asakura, Beilinson, Bloch, Green, Griffiths, Müller-Stach, Murre, Voisin and others.
Information
Published: 1 January 2002
First available in Project Euclid: 27 January 2019
zbMATH: 1060.14014
MathSciNet: MR1971514
Digital Object Identifier: 10.2969/aspm/03610115
Subjects:
Primary:
14C30
,
32S35
Keywords:
Abel-Jacobi map
,
algebraic cycle
,
mixed Hodge module
,
mixed Hodge structure
Rights: Copyright © 2002 Mathematical Society of Japan