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

2008/11/18 by Adrian Vasiu, Vasiu, Adrian
Mathematics · #11G10 #11G18 #14F30 #14G35 #14G40 #14K10 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometry and complex manifolds #Number Theory (math.NT) #and 14J10 #math.AG #math.NT #msc:11G10 #msc:11G18 #msc:14F30 #msc:14G35 #msc:14G40 #msc:14J10 #msc:14K10

paper · pdf · doi:10.48550/arxiv.0811.2970

15 pages. Survey that grew out from seminar talks

openalex publication_date 2008/11/18 · arxiv created 2008/11/20 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Related

• Integral canonical models of exceptional Shimura varieties
• Canonical Integral Models of Shimura Varieties of Abelian Type
• Integral Canonical Models of Shimura Varieties of Preabelian Type
• Good Reductions of Shimura Varieties of Hodge Type in Arbitrary Unramified Mixed Characteristic, Part II
• On integral models of Shimura varieties