Hilbert schemes of K3 surfaces are dense in moduli

Published 29 Dec 2011 in math.AG | (1201.0031v1)

Abstract: We prove that the locus of Hilbert schemes of n points on a projective K3 surface is dense in the moduli space of irreducible holomorphic symplectic manifolds of that deformation type. The analogous result for generalized Kummer manifolds is proven as well.

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