Canonical Integral Models of Shimura Varieties of Abelian Type
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866910322955124736 |
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| author | Daniels, Patrick Youcis, Alex |
| author_facet | Daniels, Patrick Youcis, Alex |
| contents | We prove a conjecture of Pappas and Rapoport for all Shimura varieties of abelian type with parahoric level structure when $p>3$ by showing that the Kisin-Pappas-Zhou integral models of Shimura varieties of abelian type are canonical. In particular, this shows that these models of are independent of the choices made during their construction, and that they satisfy functoriality with respect to morphisms of Shimura data. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_05727 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Canonical Integral Models of Shimura Varieties of Abelian Type Daniels, Patrick Youcis, Alex Number Theory Algebraic Geometry 11G18, 11R39 We prove a conjecture of Pappas and Rapoport for all Shimura varieties of abelian type with parahoric level structure when $p>3$ by showing that the Kisin-Pappas-Zhou integral models of Shimura varieties of abelian type are canonical. In particular, this shows that these models of are independent of the choices made during their construction, and that they satisfy functoriality with respect to morphisms of Shimura data. |
| title | Canonical Integral Models of Shimura Varieties of Abelian Type |
| topic | Number Theory Algebraic Geometry 11G18, 11R39 |
| url | https://arxiv.org/abs/2402.05727 |