$2$-adic integral models of some Shimura varieties with parahoric level structure

Jie Yang

$2$-adic integral models of some Shimura varieties with parahoric level structure

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arxiv 2301.12981 v2 pith:QK7U67Z4 submitted 2023-01-25 math.NT math.AG

Jie Yang This is my paper · ORCID

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keywords integralmodelsshimuravarietieslevelparahoricsomestructure

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abstract

We construct integral models over $p=2$ for some Shimura varieties of abelian type with parahoric level structure, extending the previous work of Kim-Madapusi, Kisin, Pappas, and Zhou. For Shimura varieties of Hodge type, we show that our integral models are canonical in the sense of Pappas-Rapoport.

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On semi-stable integral models for Shimura varieties
math.NT 2026-08 conditional novelty 6.0 of 10

Successive blow-ups of orthogonal and symplectic local models along Schubert strata yield potentially semi-stable integral models for maximal parahoric PEL Shimura varieties, with unipotence of inertia on nearby cycles.

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