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arxiv: 2409.03689 · v3 · submitted 2024-09-05 · 🧮 math.NT · math.AG

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Integral models of Shimura varieties with parahoric level structure, II

Mark Kisin , Georgios Pappas , Rong Zhou
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classification 🧮 math.NT math.AG
keywords modelsintegrallevelparahoricshimurastructurevarietiesabelian
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We construct integral models of Shimura varieties of abelian type with parahoric level structure over odd primes. These models are \'etale locally isomorphic to corresponding local models.

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Cited by 1 Pith paper

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  1. On canonicity for integral models of Shimura varieties with hyperspecial level

    math.NT 2026-04 unverdicted novelty 7.0

    New aperture-based definition and construction of integral canonical models for pre-abelian and exceptional Shimura varieties at hyperspecial level, with uniform proofs of non-emptiness for all Newton strata, Ekedahl-...