Geometrization of summation formulae for quadrics
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866911738911260672 |
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| author | Hsu, Chun-Hsien |
| author_facet | Hsu, Chun-Hsien |
| contents | We geometrize the Poisson summation formula for the zero locus of a split quadratic form in an even number of variables over number fields. We do so by making explicit the relationship between Schwartz spaces on quadrics defined in two different ways: via Braverman-Kazhdan spaces and via theta lifts. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2606_01491 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Geometrization of summation formulae for quadrics Hsu, Chun-Hsien Number Theory Primary 11F70, Secondary 11E12 We geometrize the Poisson summation formula for the zero locus of a split quadratic form in an even number of variables over number fields. We do so by making explicit the relationship between Schwartz spaces on quadrics defined in two different ways: via Braverman-Kazhdan spaces and via theta lifts. |
| title | Geometrization of summation formulae for quadrics |
| topic | Number Theory Primary 11F70, Secondary 11E12 |
| url | https://arxiv.org/abs/2606.01491 |