On holomorphic conformal structures associated with lattice polarized K3 surfaces
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866908420327604224 |
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| author | Malmendier, Andreas Schultz, Michael T. |
| author_facet | Malmendier, Andreas Schultz, Michael T. |
| contents | We discuss the connection between Picard-Fuchs equations for certain families of lattice polarized K3 surfaces and the construction of integrable holomorphic conformal structures on their period domains. We then compute an explicit example of a locally conformally flat holomorphic metric associated with generic Jacobian Kummer surfaces, which allows for a novel description of the local variation of complex structure. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_10950 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On holomorphic conformal structures associated with lattice polarized K3 surfaces Malmendier, Andreas Schultz, Michael T. Algebraic Geometry Differential Geometry 14D07, 14J28, 53C18 We discuss the connection between Picard-Fuchs equations for certain families of lattice polarized K3 surfaces and the construction of integrable holomorphic conformal structures on their period domains. We then compute an explicit example of a locally conformally flat holomorphic metric associated with generic Jacobian Kummer surfaces, which allows for a novel description of the local variation of complex structure. |
| title | On holomorphic conformal structures associated with lattice polarized K3 surfaces |
| topic | Algebraic Geometry Differential Geometry 14D07, 14J28, 53C18 |
| url | https://arxiv.org/abs/2401.10950 |