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<p>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 <i>p</i>. 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.</p>

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On a conjecture of Pappas and Rapoport

  • 期刊论文

  • 发表日期：

    2026年4月17日

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  • Patrick Daniels,
  • Pol van Hoften,
  • Dongryul Kim,
  • Mingjia Zhang

摘要

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.