Introduction to Shimura varieties with bad reduction of parahoric type
Thomas J. Haines
TL;DR
This survey explains the construction of local models for Shimura varieties with parahoric level structure, focusing on their singularities in bad reduction cases and the role of Rapoport-Zink models.
Contribution
It provides an overview of local models and their application to understanding singularities in Shimura varieties with parahoric level structure at p.
Findings
Construction of Rapoport-Zink local models
Analysis of singularities in bad reduction of Shimura varieties
Application of local models to arithmetic geometry
Abstract
This survey article explains the construction of Rapoport-Zink local models and their use in understanding various questions relating to the singularities in the reduction modulo p of certain Shimura varieties with parahoric level structure at p.
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Taxonomy
TopicsAdvanced Algebra and Geometry · Phytoestrogen effects and research · Alzheimer's disease research and treatments