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arXiv · 1403.0554

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

Malek Joumaah
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Abstract

This paper is concerned with non-symplectic involutions of irreducible symplectic manifolds of $K3^{[n]}$-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 $K3^{[n]}$-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.

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Malek Joumaah. 2016-07-17. Non-symplectic involutions of irreducible symplectic manifolds of K3^[n]-type. https://doi.org/10.1007/s00209-016-1620-2

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