Chow rings and decomposition theorems for \(K3\) surfaces and Calabi-Yau hypersurfaces

DOI10.2140/gt.2012.16.433zbMath1253.14005arXiv1102.1607OpenAlexW2161950832MaRDI QIDQ422825

Claire Voisin

Publication date: 18 May 2012

Published in: Geometry \& Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1102.1607

zbMATH Keywords

decomposition theoremChow ringdecomposition of the small diagonal

Mathematics Subject Classification ID

Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30) (Equivariant) Chow groups and rings; motives (14C15) Families, fibrations in algebraic geometry (14D99)

Related Items (22)

On Chow groups of some hyperkähler fourfolds with a non-symplectic involution. II ⋮ On the Chow ring of some Lagrangian fibrations ⋮ ON THE CHOW RING OF CERTAIN LEHN–LEHN–SORGER–VAN STRATEN EIGHTFOLDS ⋮ On the Chow ring of certain Fano fourfolds ⋮ The Fourier Transform for Certain HyperKähler Fourfolds ⋮ THE MOTIVE OF THE HILBERT CUBE ⋮ Decomposition of small diagonals and Chow rings of hypersurfaces and Calabi-Yau complete intersections ⋮ On the Chow groups of some hyperkähler fourfolds with a non-symplectic involution ⋮ The zero section of the universal semiabelian variety and the double ramification cycle ⋮ Algebraic cycles and Verra fourfolds ⋮ Motivic hyper-Kähler resolution conjecture. I: Generalized Kummer varieties ⋮ A remark on Beauville's splitting property ⋮ Pixton's double ramification cycle relations ⋮ On the motive of some hyperKähler varieties ⋮ Tautological classes on moduli spaces of hyper-Kähler manifolds ⋮ About Chow groups of certain hyperkähler varieties with non-symplectic automorphisms ⋮ The generalized Franchetta conjecture for some hyper-Kähler varieties. II ⋮ Relations in the tautological ring of the moduli space of \(K3\) surfaces ⋮ On the Chow Ring of Cynk–Hulek Calabi–Yau Varieties and Schreieder Varieties ⋮ The global derived period map ⋮ On the decomposition of the small diagonal of a \(K3\) surface ⋮ Zero-cycles on double EPW sextics

Cites Work

• On the Chow ring of certain algebraic hyper-Kähler manifolds
• A note on the Bloch-Beilinson conjecture for \(K3\) surfaces and spherical objects
• Théoreme de Lefschetz et critères de dégénérescence de suites spectrales
• Remarks on Correspondences and Algebraic Cycles
• On the motive of an algebraic surface.
• On the Chow ring of a K3 surface
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