On K3 surfaces with hyperbolic automorphism groups
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866910184147779584 |
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| author | Fujiwara, Koji Oguiso, Keiji Yu, Xun |
| author_facet | Fujiwara, Koji Oguiso, Keiji Yu, Xun |
| contents | We show the finiteness of the Néron-Severi lattices of complex projective K3 surfaces whose automorphism groups are non-elementary hyperbolic with explicit descriptions, under the assumption that the Picard number $\ge 6$ which is optimal to ensure the finiteness. Our proof of finiteness is based on the study of genus one fibrations on K3 surfaces and recent work of Kikuta and Takatsu. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_13726 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On K3 surfaces with hyperbolic automorphism groups Fujiwara, Koji Oguiso, Keiji Yu, Xun Algebraic Geometry Group Theory We show the finiteness of the Néron-Severi lattices of complex projective K3 surfaces whose automorphism groups are non-elementary hyperbolic with explicit descriptions, under the assumption that the Picard number $\ge 6$ which is optimal to ensure the finiteness. Our proof of finiteness is based on the study of genus one fibrations on K3 surfaces and recent work of Kikuta and Takatsu. |
| title | On K3 surfaces with hyperbolic automorphism groups |
| topic | Algebraic Geometry Group Theory |
| url | https://arxiv.org/abs/2507.13726 |