Algebraic cycles and Beauville's involution

DOI10.1007/s40879-023-00594-4OpenAlexW4319317011MaRDI QIDQ2699551

Robert Laterveer

Publication date: 19 April 2023

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

Full work available at URL: https://doi.org/10.1007/s40879-023-00594-4

zbMATH Keywords

algebraic cyclesChow groupanti-symplectic involutionhyperkähler varietiesmotivemultiplicative Chow-Künneth decompositionBloch-Beilinson filtrationBeauville-Voisin conjectureBeauville's ``splitting property conjectureHilbert schemes of K3 surfaces

Mathematics Subject Classification ID

Algebraic cycles (14C25) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30) (Equivariant) Chow groups and rings; motives (14C15)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the motive of some hyperKähler varieties
• Motivic hyper-Kähler resolution conjecture. I: Generalized Kummer varieties
• About Chow groups of certain hyperkähler varieties with non-symplectic automorphisms
• Involutions and linear systems on holomorphic symplectic manifolds
• On the Chow ring of certain algebraic hyper-Kähler manifolds
• 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
• Bloch's conjecture for certain hyperkähler fourfolds
• Motivic decompositions for the Hilbert scheme of points of a \(K3\) surface
• The generalized Franchetta conjecture for some hyper-Kähler varieties. II
• Multiplicative Chow-Künneth decompositions and varieties of cohomological \(K3\) type
• The generalized Franchetta conjecture for some hyper-Kähler varieties
• On the Chow groups of certain EPW sextics
• Moduli of sheaves and the Chow group of \(K3\) surfaces
• Finite-dimensionality and cycles on powers of \(K3\) surfaces
• Algebraic cycles on a very special EPW sextic
• Unirational threefolds with no universal codimension \(2\) cycle
• Remarks And Questions On Coisotropic Subvarieties and 0-Cycles of Hyper-Kähler Varieties
• A note on automorphisms and birational transformations of holomorphic symplectic manifolds
• The generalized Hodge and Bloch conjectures are equivalent for general complete intersections
• THE MOTIVE OF THE HILBERT CUBE
• Remarks on Correspondences and Algebraic Cycles
• Algebraic cycles and EPW cubes
• On O'Grady's Generalized Franchetta Conjecture
• 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
• Algebraic cycles on some special hyperk\"ahler varieties
• Zero-cycles on double EPW sextics

This page was built for publication: Algebraic cycles and Beauville's involution