On a conjectural filtration on the Chow groups of an algebraic variety. II: Verification of the conjectures for threefolds which are the product of a surface and a curve

DOI10.1016/0019-3577(93)90039-2zbMath0805.14002OpenAlexW1531834264MaRDI QIDQ1309345

Jacob P. Murre

Publication date: 6 December 1993

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0019-3577(93)90039-2

zbMATH Keywords

Chow motivesthreefoldfiltration on the Chow group

Mathematics Subject Classification ID

Parametrization (Chow and Hilbert schemes) (14C05) (3)-folds (14J30) Generalizations (algebraic spaces, stacks) (14A20)

Related Items (9)

Chow–Künneth decomposition for 3- and 4-folds fibred by varieties with trivial Chow group of zero-cycles ⋮ Some cubics with finite-dimensional motive ⋮ Algebraic cycles and Beauville's involution ⋮ Remarks on Murre's conjecture on Chow groups ⋮ Absolute Chow-Künneth decomposition for rational homogeneous bundles and for log homogeneous varieties ⋮ A motivic global Torelli theorem for isogenous \(K3\) surfaces ⋮ About Chow groups of certain hyperkähler varieties with non-symplectic automorphisms ⋮ Murre’s conjectures and explicit Chow–Künneth projectors for varieties with a nef tangent bundle ⋮ Motivic decomposition and intersection Chow groups. I.

Cites Work

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• On a conjectural filtration on the Chow groups of an algebraic variety. I: The general conjectures and some examples
• On the motive of an algebraic surface.
• Varieties Defined by Quadratic Equations

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