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

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.

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Bibliographic Details
Main Authors: Neguţ, Andrei (Author) , Oberdieck, Georg (Author) , Yin, Qizheng (Author)
Format: Article (Journal)
Language:English
Published: 19. April 2021
In: Journal für die reine und angewandte Mathematik
Year: 2021, Issue: 778, Pages: 65-95
ISSN:1435-5345
DOI:10.1515/crelle-2021-0015
Online Access:Verlag, kostenfrei, Volltext: https://doi.org/10.1515/crelle-2021-0015
Verlag, kostenfrei, Volltext: https://www.degruyterbrill.com/document/doi/10.1515/crelle-2021-0015/html
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Author Notes:by Andrei Neguţ at Cambridge, MA, Georg Oberdieck at Bonn and Qizheng Yin at Beijing
Description
Summary: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.
Item Description:Gesehen am 12.12.2024
Physical Description:Online Resource
ISSN:1435-5345
DOI:10.1515/crelle-2021-0015