Regular models of ramified unitary Shimura varieties at maximal parahoric level
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866913168832331776 |
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| author | He, Qiao Luo, Yu Shi, Yousheng |
| author_facet | He, Qiao Luo, Yu Shi, Yousheng |
| contents | We use the idea of splitting models to define and study a semi-stable model for unitary Shimura varieties of signature $(n-1,1)$ with maximal parahoric level structure at ramified primes. In this case, the ``naive'' splitting model defined by Pappas and Rapoport fails to be flat in a crucial way. We prove that the genuine splitting model in this case is flat with semi-stable reduction. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_04500 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Regular models of ramified unitary Shimura varieties at maximal parahoric level He, Qiao Luo, Yu Shi, Yousheng Algebraic Geometry Number Theory We use the idea of splitting models to define and study a semi-stable model for unitary Shimura varieties of signature $(n-1,1)$ with maximal parahoric level structure at ramified primes. In this case, the ``naive'' splitting model defined by Pappas and Rapoport fails to be flat in a crucial way. We prove that the genuine splitting model in this case is flat with semi-stable reduction. |
| title | Regular models of ramified unitary Shimura varieties at maximal parahoric level |
| topic | Algebraic Geometry Number Theory |
| url | https://arxiv.org/abs/2410.04500 |