A Kudla-Rapoport Formula for Exotic Smooth Models of Odd Dimension
| Autor: | Yao, Haodong |
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| Rok vydání: | 2024 |
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| Druh dokumentu: | Working Paper |
| Popis: | 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. Comment: arXiv admin note: substantial text overlap with arXiv:1604.02419, arXiv:2312.16906 by other authors |
| Databáze: | arXiv |
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