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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2404.14431 |
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| _version_ | 1866914765463355392 |
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| author | Yao, Haodong |
| author_facet | Yao, Haodong |
| contents | In this article, we prove a Kudla-Rapoport conjecture for $\mathcal{Y}$-cycles on exotic smooth unitary Rapoport-Zink spaces of odd arithmetic dimension, i.e. the arithmetic intersection numbers for $\mathcal{Y}$-cycles equals the derivatives of local representation density. We also compare $\mathcal{Z}$-cycles and $\mathcal{Y}$-cycles on these RZ spaces. The method is to relate both geometric and analytic sides to the even dimensional case and reduce the conjecture to the results in arXiv:2101.09485. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_14431 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A Kudla-Rapoport Formula for Exotic Smooth Models of Odd Dimension Yao, Haodong Number Theory In this article, we prove a Kudla-Rapoport conjecture for $\mathcal{Y}$-cycles on exotic smooth unitary Rapoport-Zink spaces of odd arithmetic dimension, i.e. the arithmetic intersection numbers for $\mathcal{Y}$-cycles equals the derivatives of local representation density. We also compare $\mathcal{Z}$-cycles and $\mathcal{Y}$-cycles on these RZ spaces. The method is to relate both geometric and analytic sides to the even dimensional case and reduce the conjecture to the results in arXiv:2101.09485. |
| title | A Kudla-Rapoport Formula for Exotic Smooth Models of Odd Dimension |
| topic | Number Theory |
| url | https://arxiv.org/abs/2404.14431 |