p-adic shtukas and the theory of global and local Shimura varieties

2021/06/15 by Pappas, Georgios, Rapoport, Michael · 4 citations
#Algebraic Geometry (math.AG) #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2106.08270

Abstract

We establish basic results on p-adic shtukas and apply them to the theory of local and global Shimura varieties, and on their interrelation. We construct canonical integral models for (local, and global) Shimura varieties of Hodge type with parahoric level structure.

Cited by

• Igusa Stack for some expectional Shimura Varieties
• Embeddings of Certain Exceptional Shimura Varieties into Siegel Modular Varieties
• On properness of moduli stacks of D^×-shtukas over ramified legs
• On depth-zero integral models of local Shimura varieties

Related

• 2-adic integral models of some Shimura varieties with parahoric level structure
• Local models in the ramified case. II. Splitting models
• Integral models of Shimura varieties with parahoric level structure, II
• Towards a theory of local Shimura varieties
• Integral models of Shimura varieties with parahoric level structure