Refined Cycle Maps

2001/03/18 by Morihiko Saito, Saito, Morihiko
Mathematics · #14C30 #32S35 #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG #msc:14C30 #msc:32S35

paper · pdf · doi:10.48550/arxiv.math/0103116

AMS-TeX, 24 pages, minor change requested by the referee

arxiv created 2001/11/09 · arxiv updated 2009/11/30

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, Mueller-Stach, Murre, Voisin and others.

Related

• Arithmetic Mixed Sheaves
• Cycle Map for Strictly Decomposable Cycles
• Non-reductive special cycles and Twisted Arithmetic Fundamental Lemma
• Hodge index theorem for arithmetic cycles of codimension one
• Non-reductive cycles and twisted arithmetic transfers for Shimura curves