Hilbert schemes of K3 surfaces are dense in moduli

  title={Hilbert schemes of K3 surfaces are dense in moduli},
  author={Eyal Markman and Sukhendu Mehrotra},
  journal={arXiv: Algebraic Geometry},
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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  • K. Oguiso
  • Mathematics
    Nagoya Mathematical Journal
  • 2018
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