Nonvanishing of external products for higher Chow groups

DOI10.1090/S1056-3911-03-00361-8zbMath1059.14008arXivmath/0112058MaRDI QIDQ4831695

Morihiko Saito, Andreas Rosenschon

Publication date: 3 January 2005

Published in: Journal of Algebraic Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0112058

zbMATH Keywords

Deligne cohomologyhigher cycle

Mathematics Subject Classification ID

Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies) (14F43) (Equivariant) Chow groups and rings; motives (14C15)

Cites Work

• Griffiths' infinitesimal invariant and the Abel-Jacobi map
• Higher regulators and values of \(L\)-functions
• Localization on singular varieties
• Hodge theory with degenerating coefficients: \(L_2\) cohomology in the Poincaré metric
• Hodge cycles, motives, and Shimura varieties
• Cycles in a product of elliptic curves, and a group analogous to the class group
• Limits of Hodge structures
• Degeneration of Kähler manifolds
• Variations of Hodge structure and zero cycles on general surfaces
• Variation of Hodge structure: The singularities of the period mapping
• On certain exterior product maps of Chow groups
• The transcendental part of the regulator map for \(K_1\) on a mirror family of \(K3\)-surfaces.
• On the periods of certain rational integrals. I, II
• Constructing Indecomposable Motivic Cohomology Classes on Algebraic Surfaces
• NORI’S CONNECTIVITY THEOREM AND HIGHER CHOW GROUPS
• Cycle map for strictly decomposable cycles
• Singular Points of Complex Hypersurfaces. (AM-61)
• Mixed Hodge modules
• Arithmetic mixed sheaves
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Nonvanishing of external products for higher Chow groups