2004/11/17 by Chia‐Fu Yu, Chia-Fu Yu, Yu, Chia-Fu
Mathematics · #14G35 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometry and complex manifolds #math.AG #msc:14G35
paper · pdf · doi:10.48550/arxiv.math/0411373
Revised version, 14 pages
openalex publication_date 2004/11/17 · arxiv created 2005/04/07 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper we study the slope stratification on the good reduction of the type C family Shimura varieties. We show that there is an open dense subset U of the moduli space such that any point in U can be deformed to a point with a given lower \it admissible Newton polygon. For the Siegel moduli spaces, this is obtained by F. Oort which plays an important role in his proof of the strong Grothendieck conjecture concerning the slope stratification. We also investigate the p-divisible groups and their isogeny classes arising from the abelian varieties in question.