Three methods to prove the existence of integral canonical models of Shimura varieties of Hodge type

TL;DR

This paper surveys three main methods developed over 15 years for establishing the existence of integral canonical models of Shimura varieties of Hodge type, including recent corrections to Kisin's results.

Contribution

It provides a comprehensive overview of the three key methods and updates previous results with new corrections to Kisin's work.

Findings

Summarizes three main methods for proving existence of models.

Includes recent corrections to Kisin's results.

Serves as a comprehensive survey in the field.

Abstract

This is a survey of the three main methods developed in the last 15 years to prove the existence of integral canonical models of Shimura varieties of Hodge type. The only new part is formed by corrections to results of Kisin.