Compatibility of certain integral models of Shimura varieties of abelian type

2019/03/18 by Chao Zhang, Zhang, Chao
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.1903.07263

openalex publication_date 2019/03/18 · openalex created_date 2019/03/22 · openalex updated_date 2026/07/28

Abstract

For a prime p>2, Kisin and Pappas constructed parahoric integral models at p for Shimura varieties attached to Shimura data (G,X) of abelian type such that G splits over a tamely ramified extension of ℚ_p. A certain auxiliary data has to be chosen in their constructions. In this note, we will show that the parahoric integral models are actually independent of the choices of the auxiliary data. We also get partial results on extending morphisms of Shimura varieties to those of parahoric integral models.

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