$2$-adic integral models of some Shimura varieties with parahoric level structure

Abstract

We construct integral models over $p=2$ for some Shimura varieties of abelian type with parahoric level structure, extending the previous work of Kim-Madapusi, Kisin, Pappas, and Zhou. For Shimura varieties of Hodge type, we show that our integral models are canonical in the sense of Pappas-Rapoport.

28 pages; This revised version takes into account the work of Kisin-Pappas-Zhou arXiv:2409.03689. The main results of the previous version have been modified