On the Chow ring of some Lagrangian fibrations

DOI10.36045/j.bbms.200318zbMath1485.14007arXiv2105.06857MaRDI QIDQ2135298

Robert Laterveer

Publication date: 6 May 2022

Published in: Bulletin of the Belgian Mathematical Society - Simon Stevin (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.06857

zbMATH Keywords

Chow groupsalgebraic cyclesmotiveshyperkähler varietiesLagrangian fibrationsBeauville-Voisin conjectureBeauville ``splitting property conjecture

Mathematics Subject Classification ID

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

Cites Work

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• On the Chow group of zero-cycles of a generalized Kummer variety
• Chow rings and decomposition theorems for \(K3\) surfaces and Calabi-Yau hypersurfaces
• On the Chow ring of birational irreducible symplectic varieties
• On the motive of some hyperKähler varieties
• 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
• On the Chow ring of certain algebraic hyper-Kähler manifolds
• Symplectic structure of the moduli space of sheaves on an abelian or K 3 surface
• On fibre space structures of a projective irreducible symplectic manifold
• On a conjectural filtration on the Chow groups of an algebraic variety. I: The general conjectures and some examples
• Lagrangian families of Jacobians of genus 2 curves
• A hyper-Kähler compactification of the intermediate Jacobian fibration associated with a cubic 4-fold
• Multiplicative Chow-Künneth decompositions and varieties of cohomological \(K3\) type
• On the Lefschetz standard conjecture for Lagrangian covered hyper-Kähler varieties
• The generalized Franchetta conjecture for some hyper-Kähler varieties
• Motives of moduli spaces on \(K3\) surfaces and of special cubic fourfolds
• Finite-dimensionality and cycles on powers of \(K3\) surfaces
• Remarks on motives of abelian type
• Supplement to On the inverse of monoidal transformation
• The generalized Hodge and Bloch conjectures are equivalent for general complete intersections, II
• Remarks And Questions On Coisotropic Subvarieties and 0-Cycles of Hyper-Kähler Varieties
• The generalized Hodge and Bloch conjectures are equivalent for general complete intersections
• THE MOTIVE OF THE HILBERT CUBE
• Lagrangian embeddings of cubic fourfolds containing a plane
• Remarks on Correspondences and Algebraic Cycles
• On Beauville's Conjectural Weak Splitting Property
• Hyper-Kähler compactification of the intermediate Jacobian fibration of a cubic fourfold: The twisted case
• On the Chow ring of a K3 surface
• Lagrangian subvarieties in the Chow ring of some hyperk\"ahler varieties
• Lagrangian Constant Cycle Subvarieties in Lagrangian Fibrations
• Derived categories of surfaces, O’Grady’s filtration, and zero-cycles on holomorphic symplectic varieties
• On the Chow Ring of Cynk–Hulek Calabi–Yau Varieties and Schreieder Varieties
• Distinguished cycles on varieties with motive of abelian type and the Section Property
• The Fourier Transform for Certain HyperKähler Fourfolds
• Chow Rings, Decomposition of the Diagonal, and the Topology of Families
• Lagrangian fibrations on hyperkähler fourfolds
• Beauville-Voisin Conjecture for Generalized Kummer Varieties
• Zero-cycles on double EPW sextics

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