Hilbert schemes of K3 surfaces are dense in moduli

Details Hilbert schemes of K3 surfaces are dense in moduli Hilbert schemes of K3 surfaces are dense in moduli

2011-12-29

arxiv.org/abs/1201.0031v1

Mathematics

Algebraic Geometry

11 pages

Scientific paper

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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