In this paper, we describe the fixed locus of a symplectic involution on a hyper-Kahler manifold of type K3([n]) or of Kummer n type. We prove that the fixed locus consists of finitely many copies of deformations of Hilbert schemes of K3 surfaces of lower dimensions and isolated fixed points.
Symplectic involutions of K3[n] type and Kummer n type manifolds / Kamenova L.; Mongardi G.; Oblomkov A.. - In: BULLETIN OF THE LONDON MATHEMATICAL SOCIETY. - ISSN 0024-6093. - ELETTRONICO. - 54:3(2022), pp. 894-909. [10.1112/blms.12594]
Symplectic involutions of K3[n] type and Kummer n type manifolds
Mongardi G.
;
2022
Abstract
In this paper, we describe the fixed locus of a symplectic involution on a hyper-Kahler manifold of type K3([n]) or of Kummer n type. We prove that the fixed locus consists of finitely many copies of deformations of Hilbert schemes of K3 surfaces of lower dimensions and isolated fixed points.File in questo prodotto:
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