Symplectic involutions of $K3^{[n]}$ type and Kummer $n$ type manifolds (1809.02810v3)

Published 8 Sep 2018 in math.AG and math.RT

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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