Symplectic Eichler criterion
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866918126523777024 |
|---|---|
| author | Ma, Shouhei |
| author_facet | Ma, Shouhei |
| contents | We prove an Eichler-type criterion for symplectic lattices which determines in a simple way when two primitive vectors are equivalent under a canonical congruence subgroup of the symplectic group. This is supplemented by another, related criterion which determines when a given primitive vector is splitting. Both criteria use the discriminant groups. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_12624 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Symplectic Eichler criterion Ma, Shouhei Number Theory Algebraic Geometry 11F46 We prove an Eichler-type criterion for symplectic lattices which determines in a simple way when two primitive vectors are equivalent under a canonical congruence subgroup of the symplectic group. This is supplemented by another, related criterion which determines when a given primitive vector is splitting. Both criteria use the discriminant groups. |
| title | Symplectic Eichler criterion |
| topic | Number Theory Algebraic Geometry 11F46 |
| url | https://arxiv.org/abs/2508.12624 |