Motivic decompositions for the Hilbert scheme of points of a K3 surface
arXiv:1912.09320
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.
30 pages, added proof of multiplicativity of refined decomposition