On the motive of some hyperKaehler varieties

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.

arXiv comment9 pages. To appear in Crelle's journal

References in corpus (2)

• Chow rings and decomposition theorems for families of K3 surfaces and Calabi-Yau hypersurfaces
• On the Chow ring of birational irreducible symplectic varieties

Cited by in corpus (11)

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• Tautological classes on moduli space of hyperkähler manifolds
• On the motive of O'Grady's ten-dimensional hyper-Kähler varieties
• Algebraic cycles and Gushel-Mukai fivefolds
• Algebraic cycles and intersections of three quadrics
• Algebraic cycles and intersections of 2 quadrics
• On the Chow ring of Fano varieties on the Fatighenti-Mongardi list
• On the tautological ring of Humbert curves
• Zero-cycles and the Cayley-Oguiso automorphism