K3 Surfaces and Orthogonal Modular Forms
| Autor: | Clingher, Adrian, Malmendier, Andreas, Williams, Brandon |
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| Rok vydání: | 2024 |
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| Druh dokumentu: | Working Paper |
| Popis: | 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. Comment: 37 pages |
| Databáze: | arXiv |
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