Hilbert schemes of K3 surfaces are dense in moduli
Algebraic Geometry
2024-10-29 v1
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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Cite
@article{arxiv.1201.0031,
title = {Hilbert schemes of K3 surfaces are dense in moduli},
author = {Eyal Markman and Sukhendu Mehrotra},
journal= {arXiv preprint arXiv:1201.0031},
year = {2024}
}
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11 pages