Higher normal functions and Griffiths groups

DOI10.1090/S1056-3911-01-00294-6zbMath1057.14018OpenAlexW1989558044MaRDI QIDQ2778311

Shuji Saito

Publication date: 2002

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

Full work available at URL: https://doi.org/10.1090/s1056-3911-01-00294-6

zbMATH Keywords

algebraic cyclesmixed motivesBloch-Beilinson filtrationAbel-Jacobi mapsperiods of integrals

Mathematics Subject Classification ID

Algebraic cycles (14C25) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30) (Equivariant) Chow groups and rings; motives (14C15)

Related Items (5)

The Abel-Jacobi map for higher Chow groups. II ⋮ Algebraic cycles on the generic abelian fourfold with polarization of type (1,2,2,2) ⋮ Infinitesimal Invariant and vector bundles ⋮ Generalized Jacobian rings for open complete intersections ⋮ Algebraic cycles and infinitesimal invariants on Jacobian varieties

Cites Work

• Griffiths' infinitesimal invariant and the Abel-Jacobi map
• Deforming varieties of k-planes of projective complete intersections
• Variational Torelli implies generic Torelli
• The Abel-Jacobi isomorphism for the cubic fivefold
• Variations of Hodge structure and zero cycles on general surfaces
• Cohomological and cycle-theoretic connectivity
• Motives and filtrations on Chow groups
• Algebraic cycles and Hodge theoretic connectivity
• Théoreme de Lefschetz et critères de dégénérescence de suites spectrales
• On the periods of certain rational integrals. I, II
• Gersten's conjecture and the homology of schemes
• Cylinder Homomorphisms and Chow Groups
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