Idoneal genera and K3 surfaces covering an Enriques surface
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arXiv
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| Format: | Preprint |
| Published: |
2020
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| _version_ | 1866908315362000896 |
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| author | Brandhorst, Simon Sonel, Serkan Veniani, Davide Cesare |
| author_facet | Brandhorst, Simon Sonel, Serkan Veniani, Davide Cesare |
| contents | Idoneal genera are a generalization of Euler's idoneal numbers. We enumerate all idoneal genera by means of the Smith--Minkowski--Siegel mass formula. As an application, we classify transcendental lattices of K3 surfaces covering an Enriques surface. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2003_08914 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Idoneal genera and K3 surfaces covering an Enriques surface Brandhorst, Simon Sonel, Serkan Veniani, Davide Cesare Algebraic Geometry Number Theory 11E12 14J28 Idoneal genera are a generalization of Euler's idoneal numbers. We enumerate all idoneal genera by means of the Smith--Minkowski--Siegel mass formula. As an application, we classify transcendental lattices of K3 surfaces covering an Enriques surface. |
| title | Idoneal genera and K3 surfaces covering an Enriques surface |
| topic | Algebraic Geometry Number Theory 11E12 14J28 |
| url | https://arxiv.org/abs/2003.08914 |