On the decomposition of the small diagonal of a \(K3\) surface

DOI10.1515/advgeom-2018-0016zbMath1422.14042arXiv1611.10064OpenAlexW2962881812MaRDI QIDQ2322400

Ivan Bazhov

Publication date: 4 September 2019

Published in: Advances in Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1611.10064

zbMATH Keywords

\(K3\) surfaceChow groups\(K\)-correspondencecanonical zero-cycles

Mathematics Subject Classification ID

(K3) surfaces and Enriques surfaces (14J28) Parametrization (Chow and Hilbert schemes) (14C05) (Equivariant) Chow groups and rings; motives (14C15)

Cites Work

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• Chow rings and decomposition theorems for \(K3\) surfaces and Calabi-Yau hypersurfaces
• Computations with modified diagonals
• On the Chow ring of certain algebraic hyper-Kähler manifolds
• Chern classes of tautological sheaves on Hilbert schemes of points on surfaces
• The cup product of Hilbert schemes for K3 surfaces
• The Chow groups and the motive of the Hilbert scheme of points on a surface
• Decomposition of small diagonals and Chow rings of hypersurfaces and Calabi-Yau complete intersections
• Rational equivalence of O-cycles on surfaces
• On the Chow ring of a K3 surface

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