Good and semi-stable reductions of Shimura varieties

2018/04/25 by He, X., Pappas, G., Rapoport, M. · 3 citations
#Algebraic Geometry (math.AG) #FOS: Mathematics #Number Theory (math.NT) #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.1804.09615

Abstract

We study variants of the local models constructed by the second author and Zhu and consider corresponding integral models of Shimura varieties of abelian type. We determine all cases of good, resp. of semi-stable, reduction under tame ramification hypotheses.

Cited by

• On the flatness of spin local models for split even orthogonal groups
• Topological flatness of orthogonal spin local models
• Normality of Schubert varieties in affine Grassmannians II: The tamely ramified case

Related

• Local models, Mustafin varieties and semi-stable resolutions
• Local models in the ramified case. II. Splitting models
• CM points have everywhere good reduction
• Introduction to Shimura varieties with bad reduction of parahoric type
• Local models of Shimura varieties and a conjecture of Kottwitz