On integral models of Shimura varieties

Abstract

We show how to characterize integral models of Shimura varieties over places of the reflex field where the level subgroup is parahoric by formulating a definition of a "canonical" integral model. We then prove that in Hodge type cases and under a tameness hypothesis, the integral models constructed by the author and Kisin in previous work are canonical and, in particular, independent of choices. A main tool is a theory of displays with parahoric structure that we develop in this paper.

49 pages, final version

References in corpus (3)

• A guide to the reduction modulo p of Shimura varieties
• Local models for Weil-restricted groups
• Extending torsors on the punctured Spec(A_inf)

Cited by in corpus (1)

• Notes on Rapoport--Zink spaces of Hodge type with parahoric level structure