Moduli spaces of polarized irreducible symplectic manifolds are not necessarily connected

Apostol Apostolov

Moduli spaces of polarized irreducible symplectic manifolds are not necessarily connected

Algebraic Geometry 2015-12-29 v2

Authors: Apostol Apostolov

Abstract

We show that the moduli space of polarized irreducible symplectic manifolds of $K3^{[n]}$ -type, of fixed polarization type, is not always connected. This can be derived as a consequence of Eyal Markman's characterization of polarized parallel-transport operators of $K3^{[n]}$ -type.

Keywords

moduli spaces irreducible symplectic manifolds polarized manifolds connectedness parallel-transport operators

Cite

@article{arxiv.1109.0175,
  title  = {Moduli spaces of polarized irreducible symplectic manifolds are not necessarily connected},
  author = {Apostol Apostolov},
  journal= {arXiv preprint arXiv:1109.0175},
  year   = {2015}
}

Comments

17 pages, minor changes following referee's comments

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