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arXiv · 1809.02810

Symplectic involutions of $K3^{[n]}$ type and Kummer $n$ type manifolds

Ljudmila Kamenova·Giovanni Mongardi·Alexei Oblomkov
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Abstract

In this paper we describe the fixed locus of a symplectic involution on a hyperk\"ahler manifold of type $K3^{[n]}$ or of Kummer $n$ type. We prove that the fixed locus consists of finitely many copies of Hilbert schemes of $K3$ surfaces of lower dimensions and isolated fixed points.

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Ljudmila Kamenova, Giovanni Mongardi, Alexei Oblomkov. 2018-09-08. Symplectic involutions of $K3^{[n]}$ type and Kummer $n$ type manifolds. https://doi.org/10.1112/blms.12594

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