Open Access
VOL. 36 | 2002 Refined Cycle Maps
Morihiko Saito

Editor(s) Sampei Usui, Mark Green, Luc Illusie, Kazuya Kato, Eduard Looijenga, Shigeru Mukai, Shuji Saito

Adv. Stud. Pure Math., 2002: 115-143 (2002) DOI: 10.2969/aspm/03610115

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

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