Algebraic cycles on Fano varieties of some cubics
From MaRDI portal
Publication:2407004
DOI10.1007/s00025-017-0708-2zbMath1386.14029arXiv1706.05823OpenAlexW2715013462MaRDI QIDQ2407004
Publication date: 4 October 2017
Published in: Results in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1706.05823
Chow groupsalgebraic cyclesmotivesfinite-dimensional motivesBloch conjecturecubicsMurre's conjecturessmash-nilpotence conjecture
Algebraic cycles (14C25) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30) (Equivariant) Chow groups and rings; motives (14C15)
Related Items
On the Chow groups of certain cubic fourfolds ⋮ The generalized Franchetta conjecture for some hyper-Kähler varieties. II
Cites Work
- A family of \(K3\) surfaces having finite-dimensional motive
- On Fermat varieties
- Chow groups are finite dimensional, in some sense
- Motivation for Hodge cycles
- Smash-nilpotent cycles on abelian 3-folds
- Sur l'anneau de Chow d'une variété abélienne
- Motives, numerical equivalence, and semi-simplicity
- The Hodge conjecture for Fermat varieties
- On the variety of linear spaces contained in a complete intersection
- Algebraic varieties with small Chow groups
- 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
- Chow groups of projective varieties of very small degree
- Half twists and the cohomology of hypersurfaces
- The torsion of the group of 0-cycles modulo rational equivalence
- Examples of smash nilpotent cycles on rationally connected varieties
- Some results on a conjecture of Voisin for surfaces of geometric genus one
- A remark on the motive of the Fano variety of lines of a cubic
- Remarks on motives of abelian type
- Projectors on the intermediate algebraic Jacobians
- Hilbert schemes of fat r-planes and triviality of Chow groups of complete intersections
- Remarks on Correspondences and Algebraic Cycles
- Remarques sur les groupes de Chow des hypersurfaces de petit degré
- Cylinder Homomorphisms and Chow Groups
- Niveau and coniveau filtrations on cohomology groups and Chow groups
- The standard conjectures for holomorphic symplectic varieties deformation equivalent to Hilbert schemes ofK3 surfaces
- On descending cohomology geometrically
- The Fourier Transform for Certain HyperKähler Fourfolds
- SOME NEW EXAMPLES OF SMASH-NILPOTENT ALGEBRAIC CYCLES
- Smash nilpotent cycles on varieties dominated by products of curves
- Remarks on Murre's conjecture on Chow groups
- Chow Rings, Decomposition of the Diagonal, and the Topology of Families
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item