Künneth decompositions for quotient varieties

DOI10.1016/S0019-3577(06)80035-2zbMath1110.14009MaRDI QIDQ855781

Roy Joshua, Reza Akhtar

Publication date: 7 December 2006

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

zbMATH Keywords

abelian varietycorrespondenceChow group

Mathematics Subject Classification ID

Algebraic cycles (14C25) (Equivariant) Chow groups and rings; motives (14C15) Motivic cohomology; motivic homotopy theory (14F42)

Related Items (4)

Lefschetz Decompositions for Quotient Varieties ⋮ Equivariant algebraic \(K\)-theory, \(G\)-theory and derived completions ⋮ Absolute Chow-Künneth decomposition for rational homogeneous bundles and for log homogeneous varieties ⋮ Murre’s conjectures and explicit Chow–Künneth projectors for varieties with a nef tangent bundle

Cites Work

• Chow groups are finite dimensional, in some sense
• Algebraic K-theory of Grassmann varieties and their convoluted forms
• The motif of an Abelian variety
• On a conjectural filtration on the Chow groups of an algebraic variety. I: The general conjectures and some examples
• Finite-dimensional motives and the conjectures of Beilinson and Murre
• Nilpotence, radicals and monoidal structures. With an appendix by Peter O'Sullivan.
• Algebraic K-theory and higher Chow groups of linear varieties
• CHOW GROUPS, CHOW COHOMOLOGY, AND LINEAR VARIETIES
• ON SOME PROBLEMS IN ABSTRACT ALGEBRAIC GEOMETRY
• On the motive of an algebraic surface.
• Gersten's conjecture and the homology of schemes
• Motives of uniruled 3-folds
• On Chow motives of 3-folds
• Moduli of abelian varieties
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