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

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.

arXiv comment30 pages, added proof of multiplicativity of refined decomposition

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Cited by in corpus (5)

• Algebraic cycles and Gushel-Mukai fivefolds
• Algebraic cycles and intersections of three quadrics
• On the Chow ring of Fano varieties on the Fatighenti-Mongardi list
• Algebraic cycles and Lehn-Lehn-Sorger-van Straten eightfolds
• Some new Fano varieties with a multiplicative Chow-Künneth decomposition