Any component of moduli of polarized hyperkaehler manifolds is dense in its deformation space

Sasha Anan'in; Misha Verbitsky

doi:10.1016/j.matpur.2013.05.008

Any component of moduli of polarized hyperkaehler manifolds is dense in its deformation space

Algebraic Geometry 2014-02-10 v5 Complex Variables

Authors: Sasha Anan'in , Misha Verbitsky

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Abstract

Let M be a compact hyperkaehler manifold, and W the coarse moduli of complex deformations of M. Every positive integer class v in $H^2(M)$ defines a divisor $D_v$ in W consisting of all algebraic manifolds polarized by v. We prove that every connected component of this divisor is dense in W.

Keywords

hyperkaehler manifolds moduli space polarized manifolds deformation space divisor

Cite

@article{arxiv.1008.2480,
  title  = {Any component of moduli of polarized hyperkaehler manifolds is dense in its deformation space},
  author = {Sasha Anan'in and Misha Verbitsky},
  journal= {arXiv preprint arXiv:1008.2480},
  year   = {2014}
}

Comments

17 pages, 4 figures, v. 5.0, the introduction is cleaned up, a reference to [KV] added

Any component of moduli of polarized hyperkaehler manifolds is dense in its deformation space

Abstract

Keywords

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