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• W3082886871 abstract "We study irreducible holomorphic symplectic manifolds deformation equivalent to Hilbert schemes of points on a $K3$ surface and admitting a non-symplectic involution. We classify the possible discriminant quadratic forms of the invariant and coinvariant lattice for the action of the involution on cohomology and explicitly describe the lattices in the cases where the invariant lattice has small rank. We also give a modular description of all $d$ -dimensional families of manifolds of $K3^{[n]}$ -type with a non-symplectic involution for $dgeqslant 19$ and $nleqslant 5$ and provide examples arising as moduli spaces of twisted sheaves on a $K3$ surface." @default.
• W3082886871 created "2020-09-08" @default.
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• W3082886871 date "2020-02-27" @default.
• W3082886871 modified "2023-10-16" @default.
• W3082886871 title "NON-SYMPLECTIC INVOLUTIONS ON MANIFOLDS OF -TYPE" @default.
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• W3082886871 doi "https://doi.org/10.1017/nmj.2019.43" @default.
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