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

TL;DR

This paper constructs integral models over p=2 for certain Shimura varieties with parahoric level structure, extending prior work and establishing canonicity for Hodge type cases.

Contribution

It introduces new integral models for Shimura varieties at p=2, generalizing previous constructions and proving their canonicity in Hodge type cases.

Findings

Constructed integral models over p=2 for specific Shimura varieties.

Extended previous work by Kim-Madapusi, Kisin, Pappas, Zhou.

Proved the models are canonical for Hodge type Shimura varieties.

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.