An interesting 0-cycle

DOI10.1215/S0012-7094-03-11923-7zbMath1058.14014OpenAlexW1979618314MaRDI QIDQ1431024

Mark L. Green, Phillip A. Griffiths

Publication date: 27 May 2004

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.dmj/1082744733

zbMATH Keywords

algebraic cyclesAbel-Jacobi mapvariation of Hodge structureszero-cyclesAlbanese varietySchiffer variations

Mathematics Subject Classification ID

Hodge theory in global analysis (58A14) Variation of Hodge structures (algebro-geometric aspects) (14D07) Algebraic cycles (14C25) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30) (Equivariant) Chow groups and rings; motives (14C15)

Related Items (10)

Algebraic cycles and intersections of a quadric and a cubic ⋮ The tautological ring of \(M_{1,n}^{ct}\) ⋮ Algebraic cycles and intersections of three quadrics ⋮ On the tautological ring of Humbert curves ⋮ Higher Abel-Jacobi maps for 0-cycles ⋮ The Gorenstein conjecture fails for the tautological ring of \(\overline{\mathcal{M}}_{2,n}\) ⋮ Tautological classes on the moduli space of hyperelliptic curves with rational tails ⋮ The generalized Franchetta conjecture for some hyper-Kähler varieties ⋮ The generalized Franchetta conjecture for some hyper-Kähler varieties. II ⋮ Algebraic cycles and intersections of 2 quadrics

Cites Work

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• Griffiths' infinitesimal invariant and the Abel-Jacobi map
• Some results on Green's higher Abel-Jacobi map
• Variations of Hodge structure and zero cycles on general surfaces
• Gysin maps and cycle classes for Hodge cohomology
• Mixed Hodge complexes on algebraic varieties
• Algebraic cycles and Hodge theoretic connectivity
• A simple characterization of the uniform rule
• Rational equivalence of O-cycles on surfaces

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