Orbits in Lattices
Fuente:
arXiv
Guardado en:
| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2022
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866913434548830208 |
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| author | Dawes, Matthew |
| author_facet | Dawes, Matthew |
| contents | We exhibit algorithms for calculating Tits' buildings and orbits of vectors in a lattice $L$ for certain subgroups of $\operatorname{O}(L)$. We discuss how these algorithms can be applied to understand the configuration of boundary components in the Baily-Borel compactification of orthogonal modular varieties and to improve the performance of computer arithmetic of orthogonal modular forms. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2205_10601 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Orbits in Lattices Dawes, Matthew Algebraic Geometry 14M27, 11F55 We exhibit algorithms for calculating Tits' buildings and orbits of vectors in a lattice $L$ for certain subgroups of $\operatorname{O}(L)$. We discuss how these algorithms can be applied to understand the configuration of boundary components in the Baily-Borel compactification of orthogonal modular varieties and to improve the performance of computer arithmetic of orthogonal modular forms. |
| title | Orbits in Lattices |
| topic | Algebraic Geometry 14M27, 11F55 |
| url | https://arxiv.org/abs/2205.10601 |