Mixed mock modularity of special divisors
Fuente:
arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866916572923166720 |
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| author | Engel, Philip Greer, François Tayou, Salim |
| author_facet | Engel, Philip Greer, François Tayou, Salim |
| contents | We prove that the generating series of special divisors in toroidal compactifications of orthogonal Shimura varieties is a mixed mock modular form. More precisely, we find an explicit completion using theta series associated to rays in the cone decomposition. The proof relies on intersection theory at the boundary of the Shimura variety. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2301_05982 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Mixed mock modularity of special divisors Engel, Philip Greer, François Tayou, Salim Algebraic Geometry Number Theory We prove that the generating series of special divisors in toroidal compactifications of orthogonal Shimura varieties is a mixed mock modular form. More precisely, we find an explicit completion using theta series associated to rays in the cone decomposition. The proof relies on intersection theory at the boundary of the Shimura variety. |
| title | Mixed mock modularity of special divisors |
| topic | Algebraic Geometry Number Theory |
| url | https://arxiv.org/abs/2301.05982 |