Deformations of Theta Integrals and A Conjecture of Gross-Zagier
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2022
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| _version_ | 1866913685311586304 |
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| author | Bruinier, Jan H. Li, Yingkun Yang, Tonghai |
| author_facet | Bruinier, Jan H. Li, Yingkun Yang, Tonghai |
| contents | In this paper, we complete the proof of the conjecture of Gross and Zagier concerning algebraicity of higher Green functions at a single CM point on the product of modular curves. The new ingredient is an analogue of the incoherent Eisenstein series over a real quadratic field, which is constructed as the Doi-Naganuma theta lift of a deformed theta integral on hyperbolic space. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2204_10604 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Deformations of Theta Integrals and A Conjecture of Gross-Zagier Bruinier, Jan H. Li, Yingkun Yang, Tonghai Number Theory 11F37, 11F41, 11G15 In this paper, we complete the proof of the conjecture of Gross and Zagier concerning algebraicity of higher Green functions at a single CM point on the product of modular curves. The new ingredient is an analogue of the incoherent Eisenstein series over a real quadratic field, which is constructed as the Doi-Naganuma theta lift of a deformed theta integral on hyperbolic space. |
| title | Deformations of Theta Integrals and A Conjecture of Gross-Zagier |
| topic | Number Theory 11F37, 11F41, 11G15 |
| url | https://arxiv.org/abs/2204.10604 |