The transcendental motive of a cubic fourfold

DOI10.1016/j.jpaa.2020.106333zbMath1448.14006arXiv1710.05753OpenAlexW3004886626MaRDI QIDQ1985748

Michele Bolognesi, Claudio Pedrini

Publication date: 7 April 2020

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.05753

zbMATH Keywords

\(K3\) surfacesbirational geometryChow motivescubic fourfolds

Mathematics Subject Classification ID

Rational and birational maps (14E05) (Equivariant) Chow groups and rings; motives (14C15) Rationality questions in algebraic geometry (14E08)

Related Items (4)

Cubic fourfolds, Kuznetsov components, and Chow motives ⋮ Some motivic properties of Gushel–Mukai sixfolds ⋮ Hyper-Kähler Varieties with a Motive of Abelian Type ⋮ Representability of Chow groups of codimension three cycles

Uses Software

• Macaulay2

Cites Work

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• Hodge theory and derived categories of cubic fourfolds
• Isogenies between algebraic surfaces with geometric genus one
• On two rationality conjectures for cubic fourfolds
• Théorème de Torelli pour les cubiques de \({\mathbb{P}}^ 5\). (Torelli theorem for the cubics of \({\mathbb{P}}^ 5)\)
• Motives of derived equivalent \(K3\) surfaces
• Some loci of rational cubic fourfolds
• A remark on the motive of the Fano variety of lines of a cubic
• Remarks on motives of abelian type
• On the Chow groups of certain cubic fourfolds
• On the finite dimensionality of a \(K3\) surface
• Algebraic cycles and fibrations
• Equivalences of twisted K3 surfaces
• Bloch's conjecture for Catanese and Barlow surfaces
• On the universal \(\mathrm{CH}_0\) group of cubic hypersurfaces
• Symplectic involutions of holomorphic symplectic four-folds
• Derived categories of coherent sheaves and motives of K3 surfaces
• Derived Categories of Cubic Fourfolds
• Relative Chow–Künneth Decompositions for Conic Bundles and Prym Varieties
• On Quintic Surfaces of General Type
• Cubic Fourfolds, K3 Surfaces, and Rationality Questions
• The K3 category of a cubic fourfold
• Motives and representability of algebraic cycles on threefolds over a field
• Curves and cycles on K3 surfaces
• Cubic fourfolds containing a plane and a quintic del Pezzo surface
• One-cycles on rationally connected varieties

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