The Gross-Zagier formula on singular moduli for Shimura curves
Fuente:
arXiv
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| Auteur principal: | |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866912586358849536 |
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| author | Phillips, Andrew |
| author_facet | Phillips, Andrew |
| contents | The Gross-Zagier formula on singular moduli can be seen as a calculation of the intersection multiplicity of two CM divisors on the integral model of a modular curve. We prove a generalization of this result to a Shimura curve. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_11553 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The Gross-Zagier formula on singular moduli for Shimura curves Phillips, Andrew Number Theory Algebraic Geometry The Gross-Zagier formula on singular moduli can be seen as a calculation of the intersection multiplicity of two CM divisors on the integral model of a modular curve. We prove a generalization of this result to a Shimura curve. |
| title | The Gross-Zagier formula on singular moduli for Shimura curves |
| topic | Number Theory Algebraic Geometry |
| url | https://arxiv.org/abs/2509.11553 |