Distinguished cycles on varieties with motive of abelian type and the Section Property

DOI10.1090/jag/729zbMath1430.14020arXiv1709.05644OpenAlexW2974404131MaRDI QIDQ5242775

Lie Fu, Charles Vial

Publication date: 6 November 2019

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

Full work available at URL: https://arxiv.org/abs/1709.05644

zbMATH Keywords

algebraic cyclesChow ringsmotives of abelian type

Mathematics Subject Classification ID

Algebraic cycles (14C25) (Equivariant) Chow groups and rings; motives (14C15)

Related Items (20)

Algebraic cycles and intersections of a quadric and a cubic ⋮ On the Chow ring of some Lagrangian fibrations ⋮ On the birational motive of hyper-Kähler varieties ⋮ On the Chow ring of some special Calabi–Yau varieties ⋮ Algebraic cycles and intersections of three quadrics ⋮ On the tautological ring of Humbert curves ⋮ Some new Fano varieties with a multiplicative Chow-Künneth decomposition ⋮ Some motivic properties of Gushel–Mukai sixfolds ⋮ On the Chow ring of certain Fano fourfolds ⋮ On the Chow ring of Fano varieties of type \(S2\) ⋮ Algebraic cycles and Verra fourfolds ⋮ Motivic decompositions for the Hilbert scheme of points of a \(K3\) surface ⋮ Zero-cycles on Cancian-Frapporti surfaces ⋮ A motivic global Torelli theorem for isogenous \(K3\) surfaces ⋮ The generalized Franchetta conjecture for some hyper-Kähler varieties. II ⋮ Multiplicative Chow-Künneth decompositions and varieties of cohomological \(K3\) type ⋮ Algebraic cycles and special Horikawa surfaces ⋮ On the Chow Ring of Cynk–Hulek Calabi–Yau Varieties and Schreieder Varieties ⋮ Generic cycles, Lefschetz representations, and the generalized Hodge and Bloch conjectures for Abelian varieties ⋮ Zero-cycles on double EPW sextics

Cites Work

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• On the Chow ring of birational irreducible symplectic varieties
• On the motive of some hyperKähler varieties
• On Fermat varieties
• Pure motives with representable Chow groups
• On the Abel-Jacobi maps of Fermat Jacobians
• Motivic hyper-Kähler resolution conjecture. I: Generalized Kummer varieties
• Chow groups are finite dimensional, in some sense
• Variétés kähleriennes dont la première classe de Chern est nulle
• C is not algebraically equivalent to \(C^-\) in its Jacobian
• Some new results on modified diagonals
• On the Chow ring of certain algebraic hyper-Kähler manifolds
• Sur l'anneau de Chow d'une variété abélienne
• Compact hyperkähler manifolds: Basic results
• On a conjectural filtration on the Chow groups of an algebraic variety. I: The general conjectures and some examples
• A Lefschetz decomposition for Chow motives of abelian schemes
• Cellular decompositions for nested Hilbert schemes of points
• Tautological classes on the moduli space of hyperelliptic curves with rational tails
• On K3 surfaces with large Picard number
• The Chow groups and the motive of the Hilbert scheme of points on a surface
• The Chow motive of semismall resolutions
• A generalization of Mumford's theorem. II
• Kuga-Satake construction and cohomology of hyperkähler manifolds
• Decomposition of abelian motives
• From exceptional collections to motivic decompositions via noncommutative motives
• The generalized Franchetta conjecture for some hyper-Kähler varieties
• Finite-dimensionality and cycles on powers of \(K3\) surfaces
• Nilpotence, radicals and monoidal structures. With an appendix by Peter O'Sullivan.
• On the finite dimensionality of a \(K3\) surface
• On the Chow motive of an abelian scheme with non-trivial endomorphisms
• Remarks And Questions On Coisotropic Subvarieties and 0-Cycles of Hyper-Kähler Varieties
• Categorical representability and intermediate Jacobians of Fano threefolds
• THE MOTIVE OF THE HILBERT CUBE
• Algebraic cycles on an abelian variety
• Algebraic cycles and values of L-functions.
• Lectures on K3 Surfaces
• Homological versus algebraic equivalence in a jacobian
• The cohomology ring of the Hilbert scheme of 3 points on a smooth projective variety.
• On Beauville's Conjectural Weak Splitting Property
• On the Chow ring of a K3 surface
• On the Chow Ring of Cynk–Hulek Calabi–Yau Varieties and Schreieder Varieties
• The Fourier Transform for Certain HyperKähler Fourfolds
• Chow Rings, Decomposition of the Diagonal, and the Topology of Families
• Beauville-Voisin Conjecture for Generalized Kummer Varieties

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