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On the motive of some hyperKaehler varieties
(De GruyterJournal für die reine und angewandte Mathematik, 2015-06-05)
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, ...