On the motive of some hyperKaehler varieties
classification
🧮 math.AG
keywords
motiveabeliandecompositionsurfaceadmitsbeauvilledeningerhilbert
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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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