Moduli spaces of irreducible symplectic manifolds
Algebraic Geometry
2019-02-20 v3 Number Theory
Abstract
We study the moduli spaces of polarised irreducible symplectic manifolds. By a comparison with locally symmetric varieties of orthogonal type of dimension 20, we show that the moduli space of 2d polarised (split type) symplectic manifolds which are deformation equivalent to degree 2 Hilbert schemes of a K3 surface is of general type if d is at least 12.
Keywords
Cite
@article{arxiv.0802.2078,
title = {Moduli spaces of irreducible symplectic manifolds},
author = {V. Gritsenko and K. Hulek and G. K. Sankaran},
journal= {arXiv preprint arXiv:0802.2078},
year = {2019}
}
Comments
Exposition improved, Reference to work of Debarre and Voisin added, Corollary 1.6 removed