Proves flatness and related properties of spin local models for PEL type D and constructs flat orthogonal Rapoport-Zink spaces with parahoric level.
[BH20] Oliver B¨ ultel and Mohammad Hadi Hedayatzadeh
7 Pith papers cite this work. Polarity classification is still indexing.
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UNVERDICTED 7representative citing papers
Proves the Pappas-Rapoport conjecture on canonical integral models of Hodge-type Shimura varieties with quasi-parahoric level at p, shows uniformization by integral local Shimura varieties, and proves the Kisin-Pappas conjecture on local model diagrams.
Constructs functorial Igusa stacks for Hodge-type Shimura varieties, yielding a sheaf on Bun_G that controls cohomology and proves compatibility with the semisimple local Langlands correspondence of Fargues-Scholze while establishing torsion vanishing for proper cases.
The paper introduces a face decomposition of the μ-admissible set and proves surjectivity of the Pappas-Rapoport face map |Δ|^f with a complete description of its fibers.
Establishes a representability criterion for v-sheaf modifications of formal schemes and applies it to parahoric level structures on local shtukas, yielding local representability of integral models of local Shimura varieties under hyperspecial levels.
Constructs integral models for Shimura varieties of abelian type with parahoric level at odd primes that are étale locally isomorphic to local models.
The EKOR-stratification on the Siegel modular variety with parahoric level structure modulo p is realized as the fibers of a smooth morphism to a stack parametrizing homogeneously polarized chains of truncated displays.
citing papers explorer
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On $p$-adic integral moduli schemes and local models for PEL type D
Proves flatness and related properties of spin local models for PEL type D and constructs flat orthogonal Rapoport-Zink spaces with parahoric level.
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On a conjecture of Pappas and Rapoport
Proves the Pappas-Rapoport conjecture on canonical integral models of Hodge-type Shimura varieties with quasi-parahoric level at p, shows uniformization by integral local Shimura varieties, and proves the Kisin-Pappas conjecture on local model diagrams.
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Igusa Stacks and the Cohomology of Shimura Varieties
Constructs functorial Igusa stacks for Hodge-type Shimura varieties, yielding a sheaf on Bun_G that controls cohomology and proves compatibility with the semisimple local Langlands correspondence of Fargues-Scholze while establishing torsion vanishing for proper cases.
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On the Face Map of the Admissible Set With Iwahori Level
The paper introduces a face decomposition of the μ-admissible set and proves surjectivity of the Pappas-Rapoport face map |Δ|^f with a complete description of its fibers.
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Relative representability and parahoric level structures
Establishes a representability criterion for v-sheaf modifications of formal schemes and applies it to parahoric level structures on local shtukas, yielding local representability of integral models of local Shimura varieties under hyperspecial levels.
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Integral models of Shimura varieties with parahoric level structure, II
Constructs integral models for Shimura varieties of abelian type with parahoric level at odd primes that are étale locally isomorphic to local models.
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The EKOR-stratification on the Siegel modular variety with parahoric level structure
The EKOR-stratification on the Siegel modular variety with parahoric level structure modulo p is realized as the fibers of a smooth morphism to a stack parametrizing homogeneously polarized chains of truncated displays.