Canonical Integral Models of Shimura Varieties of Abelian Type
Number Theory
2024-02-09 v1 Algebraic Geometry
Abstract
We prove a conjecture of Pappas and Rapoport for all Shimura varieties of abelian type with parahoric level structure when by showing that the Kisin-Pappas-Zhou integral models of Shimura varieties of abelian type are canonical. In particular, this shows that these models of are independent of the choices made during their construction, and that they satisfy functoriality with respect to morphisms of Shimura data.
Keywords
Cite
@article{arxiv.2402.05727,
title = {Canonical Integral Models of Shimura Varieties of Abelian Type},
author = {Patrick Daniels and Alex Youcis},
journal= {arXiv preprint arXiv:2402.05727},
year = {2024}
}
Comments
49 pages, comments welcome!