On birational automorphisms of double EPW-cubes
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866912169661038592 |
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| author | Billi, Simone Muller, Stevell Wawak, Tomasz |
| author_facet | Billi, Simone Muller, Stevell Wawak, Tomasz |
| contents | We give a classification of finite groups of symplectic birational automorphisms on a manifold of K3^[3]-type with stable and stably saturated cohomological action. We describe the group of polarized automorphisms of a smooth double EPW-cube. Using this description, we exhibit examples of projective hyperkaehler manifolds of K3^[3]-type of maximal Picard rank with a symplectic action of a large group. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_15510 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On birational automorphisms of double EPW-cubes Billi, Simone Muller, Stevell Wawak, Tomasz Algebraic Geometry 14J42, 14J50, 14J60 We give a classification of finite groups of symplectic birational automorphisms on a manifold of K3^[3]-type with stable and stably saturated cohomological action. We describe the group of polarized automorphisms of a smooth double EPW-cube. Using this description, we exhibit examples of projective hyperkaehler manifolds of K3^[3]-type of maximal Picard rank with a symplectic action of a large group. |
| title | On birational automorphisms of double EPW-cubes |
| topic | Algebraic Geometry 14J42, 14J50, 14J60 |
| url | https://arxiv.org/abs/2405.15510 |