A new converse theorem for Borcherds products
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866908730722877440 |
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| author | Metzler, Ingmar |
| author_facet | Metzler, Ingmar |
| contents | We establish a new converse theorem for Borcherds products. Moreover, the injectivity of the Kudla-Millson theta lift is demonstrated in the O$(n,2)$ case in greater generality than is currently available in the literature. Both results are derived under the assumption of a single hyperbolic split of the base lattice. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_20701 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A new converse theorem for Borcherds products Metzler, Ingmar Number Theory 11F03, 14G35, 11S40 (Primary) 11G18, 11F27, 11F37 (Secondary) We establish a new converse theorem for Borcherds products. Moreover, the injectivity of the Kudla-Millson theta lift is demonstrated in the O$(n,2)$ case in greater generality than is currently available in the literature. Both results are derived under the assumption of a single hyperbolic split of the base lattice. |
| title | A new converse theorem for Borcherds products |
| topic | Number Theory 11F03, 14G35, 11S40 (Primary) 11G18, 11F27, 11F37 (Secondary) |
| url | https://arxiv.org/abs/2512.20701 |