Symplectic involutions of $K3^{[n]}$ type and Kummer $n$ type manifolds
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arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2018
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| _version_ | 1866916792200331264 |
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| author | Kamenova, Ljudmila Mongardi, Giovanni Oblomkov, Alexei |
| author_facet | Kamenova, Ljudmila Mongardi, Giovanni Oblomkov, Alexei |
| contents | In this paper we describe the fixed locus of a symplectic involution on a hyperkähler 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1809_02810 |
| institution | arXiv |
| publishDate | 2018 |
| record_format | arxiv |
| spellingShingle | Symplectic involutions of $K3^{[n]}$ type and Kummer $n$ type manifolds Kamenova, Ljudmila Mongardi, Giovanni Oblomkov, Alexei Algebraic Geometry Representation Theory 14J50, 53C26, 16G20 In this paper we describe the fixed locus of a symplectic involution on a hyperkähler 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. |
| title | Symplectic involutions of $K3^{[n]}$ type and Kummer $n$ type manifolds |
| topic | Algebraic Geometry Representation Theory 14J50, 53C26, 16G20 |
| url | https://arxiv.org/abs/1809.02810 |