Symplectic involutions of \(K3\) surfaces act trivially on \(\mathrm{CH}_0\)

zbMath1276.14012arXiv1204.6684MaRDI QIDQ1946053

Claire Voisin

Publication date: 17 April 2013

Published in: Documenta Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1204.6684

zbMATH Keywords

\(K3\) surfaceszero cyclesBloch's conjecture

Mathematics Subject Classification ID

(K3) surfaces and Enriques surfaces (14J28) Algebraic cycles (14C25)

Related Items (13)

A family of \(K3\) surfaces having finite-dimensional motive ⋮ Action of correspondences on filtrations on cohomology and 0-cycles of abelian varieties ⋮ Classical algebraic geometry. Abstracts from the workshop held June 17--23, 2012. ⋮ Some results on a conjecture of Voisin for surfaces of geometric genus one ⋮ Chow groups of conic bundles in $\mathbb P^5$ and the Generalised Bloch's conjecture ⋮ Étale monodromy and rational equivalence for -cycles on cubic hypersurfaces in ⋮ On symplectic automorphisms of elliptic surfaces acting on \(\mathrm{CH}_0\) ⋮ The Fourier Transform for Certain HyperKähler Fourfolds ⋮ Rational maps from punctual Hilbert schemes of \(K3\) surfaces ⋮ Algebraic cycles and Todorov surfaces ⋮ Algebraic cycles and very special cubic fourfolds ⋮ Generic cycles, Lefschetz representations, and the generalized Hodge and Bloch conjectures for Abelian varieties ⋮ On the action of symplectic automorphisms on the \(\mathrm{CH}_0\)-groups of some hyper-Kähler fourfolds

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