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| Main Author: | |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2603.09764 |
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| _version_ | 1866912959169560576 |
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| author | Sprehe, Sören |
| author_facet | Sprehe, Sören |
| contents | We confirm a conjecture of Darmon-Vonk on the antisymmetry of real quadratic singular moduli. The proof relies on a careful analysis of rigid meromorphic cocycles à la Darmon-Gehrmann-Lipnowski for the split orthogonal group on four variables. Moreover, we prove the modularity of a generating series of Kudla-Millson divisors in the spirit of Gross-Kohnen-Zagier. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_09764 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Antisymmetry of real quadratic singular moduli Sprehe, Sören Number Theory We confirm a conjecture of Darmon-Vonk on the antisymmetry of real quadratic singular moduli. The proof relies on a careful analysis of rigid meromorphic cocycles à la Darmon-Gehrmann-Lipnowski for the split orthogonal group on four variables. Moreover, we prove the modularity of a generating series of Kudla-Millson divisors in the spirit of Gross-Kohnen-Zagier. |
| title | Antisymmetry of real quadratic singular moduli |
| topic | Number Theory |
| url | https://arxiv.org/abs/2603.09764 |