Finite symplectic automorphism groups of supersingular K3 surfaces
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866913078106390528 |
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| author | Ohashi, Hisanori Schütt, Matthias |
| author_facet | Ohashi, Hisanori Schütt, Matthias |
| contents | We give a complete classification of finite groups acting symplectically on supersingular K3 surfaces of Artin invariant one. Using work of Dolgachev and Keum, this provides the full classification of tame finite symplectic automorphism groups on any K3 surface, and in particular of all finite symplectic automorphism groups on K3 surfaces in characteristic p>11. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_06341 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Finite symplectic automorphism groups of supersingular K3 surfaces Ohashi, Hisanori Schütt, Matthias Algebraic Geometry We give a complete classification of finite groups acting symplectically on supersingular K3 surfaces of Artin invariant one. Using work of Dolgachev and Keum, this provides the full classification of tame finite symplectic automorphism groups on any K3 surface, and in particular of all finite symplectic automorphism groups on K3 surfaces in characteristic p>11. |
| title | Finite symplectic automorphism groups of supersingular K3 surfaces |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2405.06341 |