English

Periods of Enriques Manifolds

Algebraic Geometry 2011-02-24 v3

Abstract

Enriques manifolds are complex spaces whose universal coverings are hyperkaehler manifolds. We introduce period domains for Enriques manifolds, establish a local Torelli theorem, and apply period maps in various situations, involving punctual Hilbert schemes, moduli spaces of stable sheaves, and Mukai flops.

Keywords

Cite

@article{arxiv.1010.0820,
  title  = {Periods of Enriques Manifolds},
  author = {Keiji Oguiso and Stefan Schroeer},
  journal= {arXiv preprint arXiv:1010.0820},
  year   = {2011}
}

Comments

19 pages, minor changes, dedicated to the memory of Eckart Viehweg, to appear in Pure Appl. Math. Q