On the Chow ring of certain algebraic hyper-Kähler manifolds

From MaRDI portal
Publication:998623

DOI10.4310/PAMQ.2008.v4.n3.a2zbMath1165.14012arXivmath/0602400OpenAlexW2024657761MaRDI QIDQ998623

Claire Voisin

Publication date: 9 February 2009

Published in: Pure and Applied Mathematics Quarterly (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0602400




Related Items (45)

On product identities and the Chow rings of holomorphic symplectic varietiesOn the Chow group of zero-cycles of a generalized Kummer varietyA family of \(K3\) surfaces having finite-dimensional motiveOn the Chow ring of some Lagrangian fibrationsHecke correspondences for smooth moduli spaces of sheavesA remark on the motive of certain moduli spaces on \(K3\) surfacesOn the birational motive of hyper-Kähler varietiesON THE CHOW RING OF CERTAIN LEHN–LEHN–SORGER–VAN STRATEN EIGHTFOLDSLEHN’S FORMULA IN CHOW AND CONJECTURES OF BEAUVILLE AND VOISINSpecial subvarieties of EPW sexticsSmooth surfaces in smooth fourfolds with vanishing first Chern classOne-cycles on Gushel-Mukai fourfolds and the Beauville-Voisin filtrationSome motivic properties of Gushel–Mukai sixfoldsChow rings and decomposition theorems for \(K3\) surfaces and Calabi-Yau hypersurfacesFamilies of rational curves on holomorphic symplectic varieties and applications to 0-cyclesDensity of Noether-Lefschetz loci of polarized irreducible holomorphic symplectic varieties and applicationsRecent trends in algebraic geometry. Abstracts from the workshop held June 18--23, 2023CATEGORIES, ONE-CYCLES ON CUBIC FOURFOLDS, AND THE BEAUVILLE–VOISIN FILTRATIONThe Fourier Transform for Certain HyperKähler FourfoldsDecomposition of small diagonals and Chow rings of hypersurfaces and Calabi-Yau complete intersectionsAlgebraic cycles and Beauville's involutionOn the Chow ring of Fano varieties of type \(S2\)Computations with modified diagonalsOn the Chow ring of birational irreducible symplectic varietiesOn the variety of triangles for a hyper-Kähler fourfold constructed by Debarre and VoisinMotivic hyper-Kähler resolution conjecture. I: Generalized Kummer varietiesMotivic decompositions for the Hilbert scheme of points of a \(K3\) surfaceA remark on Beauville's splitting propertyOn the Chow group of zero-cycles of Calabi-Yau hypersurfacesOn the motive of some hyperKähler varietiesTautological classes on moduli spaces of hyper-Kähler manifoldsThe generalized Franchetta conjecture for some hyper-Kähler varietiesThe generalized Franchetta conjecture for some hyperkähler fourfoldsA Lie algebra action on the Chow ring of the Hilbert scheme of points of a \(K3\) surfaceThe generalized Franchetta conjecture for some hyper-Kähler varieties. IIDerived categories of surfaces, O’Grady’s filtration, and zero-cycles on holomorphic symplectic varietiesMultiplicative Chow-Künneth decompositions and varieties of cohomological \(K3\) typeAlgebraic cycles and special Horikawa surfacesHolomorphic symplectic geometry: a problem listThe Chow ring of hyperkähler varieties of \(K3^{[2}\)-type via Lefschetz actions] ⋮ On the Lefschetz standard conjecture for Lagrangian covered hyper-Kähler varietiesOn the decomposition of the small diagonal of a \(K3\) surfaceDistinguished cycles on varieties with motive of abelian type and the Section PropertyZero-cycles on double EPW sexticsOn the action of symplectic automorphisms on the \(\mathrm{CH}_0\)-groups of some hyper-Kähler fourfolds




This page was built for publication: On the Chow ring of certain algebraic hyper-Kähler manifolds