Virtually abelian symmetry groups of hyperbolic lattices
Fuente:
arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866913962376822784 |
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| author | Brandhorst, Simon Kirschmer, Markus Mezzedimi, Giacomo |
| author_facet | Brandhorst, Simon Kirschmer, Markus Mezzedimi, Giacomo |
| contents | We give a classification of integral lattices with virtually abelian symmetry group. As a consequence, we complete the classification of K3 surfaces with virtually abelian automorphism group. In the appendix we formulate an algorithm for weak approximation in orthogonal groups and use it to determine if two indefinite lattices are isometric. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_20743 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Virtually abelian symmetry groups of hyperbolic lattices Brandhorst, Simon Kirschmer, Markus Mezzedimi, Giacomo Algebraic Geometry Number Theory 11H56, 14J28 We give a classification of integral lattices with virtually abelian symmetry group. As a consequence, we complete the classification of K3 surfaces with virtually abelian automorphism group. In the appendix we formulate an algorithm for weak approximation in orthogonal groups and use it to determine if two indefinite lattices are isometric. |
| title | Virtually abelian symmetry groups of hyperbolic lattices |
| topic | Algebraic Geometry Number Theory 11H56, 14J28 |
| url | https://arxiv.org/abs/2507.20743 |