Quartic surfaces with an outer Galois point and K3 surfaces with an automorphism of order 4
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866913461719531520 |
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| author | Miura, Kei Taki, Shingo |
| author_facet | Miura, Kei Taki, Shingo |
| contents | We prove that there exists a one-to-one correspondence between smooth quartic surfaces with an outer Galois point and K3 surfaces with a certain automorphism of order 4. Furthermore, we characterize quartic surfaces with two or more outer Galois points as K3 surfaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_04137 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Quartic surfaces with an outer Galois point and K3 surfaces with an automorphism of order 4 Miura, Kei Taki, Shingo Algebraic Geometry 14J70 (Primary), 14J28, 14J50, 14N05 (Secondary) We prove that there exists a one-to-one correspondence between smooth quartic surfaces with an outer Galois point and K3 surfaces with a certain automorphism of order 4. Furthermore, we characterize quartic surfaces with two or more outer Galois points as K3 surfaces. |
| title | Quartic surfaces with an outer Galois point and K3 surfaces with an automorphism of order 4 |
| topic | Algebraic Geometry 14J70 (Primary), 14J28, 14J50, 14N05 (Secondary) |
| url | https://arxiv.org/abs/2408.04137 |