About Chow groups of certain hyperkähler varieties with non-symplectic automorphisms

DOI10.1007/s10013-017-0248-9zbMath1394.14007arXiv1703.03991OpenAlexW2595561706MaRDI QIDQ723406

Robert Laterveer

Publication date: 31 July 2018

Published in: Vietnam Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.03991

zbMATH Keywords

\(K3\) surfacesCalabi-Yau varietiesChow groupsalgebraic cyclesmotivesBloch-Beilinson conjecturesmultiplicative Chow-Künneth decompositionHyperkähler varietiesnon-symplectic automorphismsweak splitting property

Mathematics Subject Classification ID

(K3) surfaces and Enriques surfaces (14J28) Parametrization (Chow and Hilbert schemes) (14C05) Algebraic cycles (14C25) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30) (Equivariant) Chow groups and rings; motives (14C15) Automorphisms of surfaces and higher-dimensional varieties (14J50)

Related Items (3)

On Chow groups of some hyperkähler fourfolds with a non-symplectic involution. II ⋮ Algebraic cycles and Beauville's involution ⋮ On the Chow groups of some hyperkähler fourfolds with a non-symplectic involution

Cites Work

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• Chow rings and decomposition theorems for \(K3\) surfaces and Calabi-Yau hypersurfaces
• On the Chow ring of birational irreducible symplectic varieties
• \(K3\) surfaces with non-symplectic automorphisms of prime order. With an appendix by Shigeyuki Kondō
• Non-symplectic automorphisms of 3-power order on \(K3\) surfaces
• Automorphisms of even lattices that arise in connection with automorphisms of algebraic K3-surfaces
• Variétés kähleriennes dont la première classe de Chern est nulle
• Non-symplectic automorphisms of order 3 on \(K3\) surfaces
• The modularity of \(K3\) surfaces with non-symplectic group actions
• Automorphisms of algebraic K3 surfaces which act trivially on Picard groups
• On a conjectural filtration on the Chow groups of an algebraic variety. I: The general conjectures and some examples
• 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
• Factor groups of groups of automorphisms of hyperbolic forms with respect to subgroups generated by 2-reflections. Algebro-geometric applications
• The Chow groups and the motive of the Hilbert scheme of points on a surface
• \(K3\) surfaces with non-symplectic automorphisms of 2-power order
• Remarks on motives of abelian type
• Algebraic cycles on a very special EPW sextic
• Decomposition of small diagonals and Chow rings of hypersurfaces and Calabi-Yau complete intersections
• \(K3\) surfaces with a non-symplectic automorphism and product-quotient surfaces with cyclic groups
• CLASSIFICATION OF ORDER SIXTEEN NON-SYMPLECTIC AUTOMORPHISMS ON K3 SURFACES
• A note on automorphisms and birational transformations of holomorphic symplectic manifolds
• Automorphismes naturels de l'espace de Douady de points sur une surface
• THE MOTIVE OF THE HILBERT CUBE
• On the Chow ring of a K3 surface
• The Fourier Transform for Certain HyperKähler Fourfolds
• Algebraic cycles on some special hyperk\"ahler varieties

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