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Non-symplectic involutions of irreducible symplectic manifolds of \(K3^{[n]}\)-type

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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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Acknowledgments

I am grateful to my advisor Klaus Hulek for many helpful discussions.

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  1. Institut für Algebraische Geometrie, Leibniz Universität Hannover, Welfengarten 1, 30060, Hannover, Germany

    Malek Joumaah

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  1. Malek Joumaah
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Correspondence to Malek Joumaah.

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Joumaah, M. Non-symplectic involutions of irreducible symplectic manifolds of \(K3^{[n]}\)-type. Math. Z. 283, 761–790 (2016). https://doi.org/10.1007/s00209-016-1620-2

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