Hilbert schemes of K3 surfaces are dense in moduli
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.
- Publication:
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arXiv e-prints
- Pub Date:
- December 2011
- arXiv:
- arXiv:1201.0031
- Bibcode:
- 2012arXiv1201.0031M
- Keywords:
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- Mathematics - Algebraic Geometry
- E-Print:
- 11 pages