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

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arxiv 1912.09320 v3 pith:247CDJNI submitted 2019-12-19 math.AG

Andrei Neguţ , Georg Oberdieck , Qizheng Yin This is my paper · ORCID
classification math.AG
keywords decompositionhilbertpointsschemesurfaceactionalgebrachow-k
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We construct an explicit, multiplicative Chow-K\"unneth 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.

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  1. A Lie algebra action on the Chow ring of the Hilbert scheme of points of a K3 surface

    math.AG 2019-08 conditional novelty 7.0 of 10

    An explicit Chow-level lift of the Neron-Severi Looijenga-Lunts-Verbitsky Lie algebra action on Hilbert schemes of K3 surfaces is constructed via Nakajima operators.

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