On a conjecture of Pappas and Rapoport

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

Published 2024-03-28Version 1

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.