Motivic decompositions for the Hilbert scheme of points of a K3 surface

2019/12/19 by Andrei Neguţ, Neguţ, Andrei, Georg Oberdieck +3
Mathematics · #Advanced Topics in Algebra #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.1912.09320

openalex publication_date 2019/12/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We construct an explicit, multiplicative Chow-Künneth decomposition for the Hilbert scheme of points of a K3 surface. We further refine this decomposition with respect to the action of the Looijenga-Lunts-Verbitsky Lie algebra.

Citations

• On the splitting of the Bloch-Beilinson filtration
• The Chow of S^[n] and the universal subscheme

Related

• A Lie algebra action on the Chow ring of the Hilbert scheme of points of\n a K3 surface
• The Chow groups and the motive of the Hilbert scheme of points on a surface
• The motive of the Hilbert cube
• On the motive of the Hilbert scheme of points on a surface
• Hilbert schemes of points on surfaces