Intersection formulas on moduli spaces of unitary shtukas
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866909611450171392 |
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| author | Chen, Yongyi Howard, Benjamin |
| author_facet | Chen, Yongyi Howard, Benjamin |
| contents | Feng-Yun-Zhang have proved a function field analogue of the arithmetic Siegel-Weil formula, relating special cycles on moduli spaces of unitary shtukas to higher derivatives of Eisenstein series. We prove an extension of this formula in a low-dimensional case, and deduce from it a Gross-Zagier style formula expressing intersection multiplicities of cycles in terms of higher derivatives of base-change $L$-functions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_08161 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Intersection formulas on moduli spaces of unitary shtukas Chen, Yongyi Howard, Benjamin Number Theory Feng-Yun-Zhang have proved a function field analogue of the arithmetic Siegel-Weil formula, relating special cycles on moduli spaces of unitary shtukas to higher derivatives of Eisenstein series. We prove an extension of this formula in a low-dimensional case, and deduce from it a Gross-Zagier style formula expressing intersection multiplicities of cycles in terms of higher derivatives of base-change $L$-functions. |
| title | Intersection formulas on moduli spaces of unitary shtukas |
| topic | Number Theory |
| url | https://arxiv.org/abs/2311.08161 |