Integral models of Shimura varieties with parahoric level structure, II

TL;DR

This paper constructs integral models of Shimura varieties of abelian type with parahoric level structure over odd primes, ensuring they are locally isomorphic to local models.

Contribution

It provides explicit integral models for Shimura varieties with parahoric level structure, expanding understanding of their local properties.

Findings

Models are étale locally isomorphic to local models.

Construction applies to primes that are odd.

Enhances the understanding of Shimura varieties' integral structures.

Abstract

We construct integral models of Shimura varieties of abelian type with parahoric level structure over odd primes. These models are \'etale locally isomorphic to corresponding local models.