Non-symplectic involutions of irreducible symplectic manifolds of K3^[n]-type

Abstract

This paper is concerned with non-symplectic involutions of irreducible symplectic manifolds of $K{3}^{[n]}$-type. We will give a criterion for deformation equivalence and use this to give a lattice-theoretic description of all deformation types. While moduli spaces of $K{3}^{[n]}$-type manifolds with non-symplectic involutions are not necessarily Hausdorff, we will construct quasi-projective moduli spaces for a certain well-behaved class of such pairs.

minor changes, final version

References in corpus (2)

• Mapping class group and global Torelli theorem for hyperkahler manifolds: an erratum
• Induced Automorphisms on Irreducible Symplectic Manifolds

Cited by in corpus (4)

• Classification of automorphisms on a deformation family of hyperkähler fourfolds by p-elementary lattices
• Moduli Spaces of Symmetric Cubic Fourfolds and Locally Symmetric Varieties
• On the nonsymplectic involutions of the Hilbert square of a K3 surface
• Symplectic involutions of $K{3}^{[n]}$ type and Kummer $n$ type manifolds