K3 Surfaces and Orthogonal Modular Forms
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866912820643233792 |
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| author | Clingher, Adrian Malmendier, Andreas Williams, Brandon |
| author_facet | Clingher, Adrian Malmendier, Andreas Williams, Brandon |
| contents | We determine explicit generators for the ring of modular forms associated with the moduli spaces of K3 surfaces with automorphism group $(\mathbb{Z}/2\mathbb{Z})^2$ and of Picard rank 13 and higher. The K3 surfaces in question carry a canonical Jacobian elliptic fibration and the modular form generators appear as coefficients in the Weierstrass-type equations describing these fibrations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_05970 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | K3 Surfaces and Orthogonal Modular Forms Clingher, Adrian Malmendier, Andreas Williams, Brandon Algebraic Geometry Number Theory 11F37, 11F55, 11E39, 14J15, 14J27, 14J28 We determine explicit generators for the ring of modular forms associated with the moduli spaces of K3 surfaces with automorphism group $(\mathbb{Z}/2\mathbb{Z})^2$ and of Picard rank 13 and higher. The K3 surfaces in question carry a canonical Jacobian elliptic fibration and the modular form generators appear as coefficients in the Weierstrass-type equations describing these fibrations. |
| title | K3 Surfaces and Orthogonal Modular Forms |
| topic | Algebraic Geometry Number Theory 11F37, 11F55, 11E39, 14J15, 14J27, 14J28 |
| url | https://arxiv.org/abs/2411.05970 |