On a conjecture of Pappas and Rapoport
Abstract
We prove a conjecture of Pappas and Rapoport about the existence of ''canonical'' integral models of Shimura varieties of Hodge type with quasi-parahoric level structure at a prime $p$. For these integral models, we moreover show uniformization of isogeny classes by integral local Shimura varieties, and prove a conjecture of Kisin and Pappas on local model diagrams.
- Publication:
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arXiv e-prints
- Pub Date:
- March 2024
- DOI:
- 10.48550/arXiv.2403.19771
- arXiv:
- arXiv:2403.19771
- Bibcode:
- 2024arXiv240319771D
- Keywords:
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- Mathematics - Number Theory;
- Mathematics - Algebraic Geometry;
- 11G18;
- 14G35
- E-Print:
- 49 pages, comments welcome!