On integral models of Shimura varieties
Algebraic Geometry
2022-03-08 v4 Number Theory
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.
Keywords
Cite
@article{arxiv.2003.13040,
title = {On integral models of Shimura varieties},
author = {G. Pappas},
journal= {arXiv preprint arXiv:2003.13040},
year = {2022}
}
Comments
49 pages, final version