Moduli spaces of irreducible symplectic manifolds

Publisher: Cambridge University Press

E-ISSN: 1570-5846|146|2|404-434

ISSN: 0010-437x

Source: Compositio Mathematica, Vol.146, Iss.2, 2010-03, pp. : 404-434

Disclaimer: Any content in publications that violate the sovereignty, the constitution or regulations of the PRC is not accepted or approved by CNPIEC.

Previous Menu Next

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 polarised deformation K3[2] manifolds with polarisation of degree 2d and split type is of general type if d≥12.