On a conjecture of Pappas and Rapoport
Number Theory
2026-04-27 v4 Algebraic Geometry
Abstract
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 . 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.
Keywords
Cite
@article{arxiv.2403.19771,
title = {On a conjecture of Pappas and Rapoport},
author = {Patrick Daniels and Pol van Hoften and Dongryul Kim and Mingjia Zhang},
journal= {arXiv preprint arXiv:2403.19771},
year = {2026}
}
Comments
Final version. Published in Mathematische Annalen