Motivic decompositions for the Hilbert scheme of points of a \(K3\) surface

DOI10.1515/crelle-2021-0015zbMath1470.14015arXiv1912.09320OpenAlexW3152728605MaRDI QIDQ1982277

Georg Oberdieck, Andrei Neguţ, Qizheng Yin

Publication date: 8 September 2021

Published in: Journal für die Reine und Angewandte Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.09320

Mathematics Subject Classification ID

(K3) surfaces and Enriques surfaces (14J28) Parametrization (Chow and Hilbert schemes) (14C05) Algebraic cycles (14C25) (Equivariant) Chow groups and rings; motives (14C15)

Related Items (12)

The LLV decomposition of hyper-Kähler cohomology (the known cases and the general conjectural behavior) ⋮ On product identities and the Chow rings of holomorphic symplectic varieties ⋮ On the birational motive of hyper-Kähler varieties ⋮ Algebraic cycles and intersections of three quadrics ⋮ Some motivic properties of Gushel–Mukai sixfolds ⋮ Gopakumar-Vafa type invariants of holomorphic symplectic 4-folds ⋮ Enumerative geometry of surfaces. Abstracts from the workshop held June 13--19, 2021 (hybrid meeting) ⋮ Algebraic cycles and Beauville's involution ⋮ Algebraic cycles and Gushel-Mukai fivefolds ⋮ The Chow ring of hyperkähler varieties of \(K3^{[2}\)-type via Lefschetz actions] ⋮ Algebraic cycles and Fano threefolds of genus 8 ⋮ The LLV decomposition of hyperkähler cohomology and applications to the Nagai conjecture (after Green-Kim-Laza-Robles)

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