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arXiv · 1406.1073

On the motive of some hyperKaehler varieties

Charles Vial
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Abstract

We show that the motive of the Hilbert scheme of length-$n$ subschemes on a K3 surface or on an abelian surface admits a decomposition similar to the decomposition of the motive of an abelian variety obtained by Shermenev, Beauville, and Deninger and Murre.

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Charles Vial. 2014-06-04. On the motive of some hyperKaehler varieties. https://doi.org/10.1515/crelle-2015-0008

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