Symplectic involutions of K3[n] type and Kummer n type manifolds

Ljudmila Kamenova; Giovanni Mongardi; Alexei Oblomkov

doi:10.1112/blms.12594

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

Ljudmila Kamenova
, Giovanni Mongardi
, Alexei Oblomkov

Mathematics

University of Bologna
University of Massachusetts

Research output: Contribution to journal › Article › peer-review

8 Scopus citations

Abstract

In this paper, we describe the fixed locus of a symplectic involution on a hyper-Kähler manifold of type (Formula presented.) or of Kummer (Formula presented.) type. We prove that the fixed locus consists of finitely many copies of deformations of Hilbert schemes of (Formula presented.) surfaces of lower dimensions and isolated fixed points.

Original language	English
Pages (from-to)	894-909
Number of pages	16
Journal	Bulletin of the London Mathematical Society
Volume	54
Issue number	3
DOIs	https://doi.org/10.1112/blms.12594
State	Published - Jun 2022

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title = "Symplectic involutions of K3[n] type and Kummer n type manifolds",

abstract = "In this paper, we describe the fixed locus of a symplectic involution on a hyper-K{\"a}hler manifold of type (Formula presented.) or of Kummer (Formula presented.) type. We prove that the fixed locus consists of finitely many copies of deformations of Hilbert schemes of (Formula presented.) surfaces of lower dimensions and isolated fixed points.",

author = "Ljudmila Kamenova and Giovanni Mongardi and Alexei Oblomkov",

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AU - Kamenova, Ljudmila

AU - Mongardi, Giovanni

AU - Oblomkov, Alexei

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N2 - In this paper, we describe the fixed locus of a symplectic involution on a hyper-Kähler manifold of type (Formula presented.) or of Kummer (Formula presented.) type. We prove that the fixed locus consists of finitely many copies of deformations of Hilbert schemes of (Formula presented.) surfaces of lower dimensions and isolated fixed points.

AB - In this paper, we describe the fixed locus of a symplectic involution on a hyper-Kähler manifold of type (Formula presented.) or of Kummer (Formula presented.) type. We prove that the fixed locus consists of finitely many copies of deformations of Hilbert schemes of (Formula presented.) surfaces of lower dimensions and isolated fixed points.

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DO - 10.1112/blms.12594

M3 - Article

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EP - 909

JO - Bulletin of the London Mathematical Society

JF - Bulletin of the London Mathematical Society

IS - 3

ER -

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

Abstract

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