Archimedean arithmetic Siegel--Weil formula for general weights over Shimura curves
Fuente:
arXiv
Salvato in:
| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866917454842691584 |
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| author | Liu, Yifeng |
| author_facet | Liu, Yifeng |
| contents | We prove an averaging formula for the canonical archimedean height pairing of special divisors with weights over orthogonal and unitary Shimura curves in terms of derivatives of Whittaker functions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_01646 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Archimedean arithmetic Siegel--Weil formula for general weights over Shimura curves Liu, Yifeng Number Theory 11F67, 11F70, 11F72 We prove an averaging formula for the canonical archimedean height pairing of special divisors with weights over orthogonal and unitary Shimura curves in terms of derivatives of Whittaker functions. |
| title | Archimedean arithmetic Siegel--Weil formula for general weights over Shimura curves |
| topic | Number Theory 11F67, 11F70, 11F72 |
| url | https://arxiv.org/abs/2605.01646 |