Regular integral models for Shimura varieties of orthogonal type
Number Theory
2021-12-16 v3 Algebraic Geometry
Abstract
We consider Shimura varieties for orthogonal or spin groups acting on hermitian symmetric domains of type IV. We give regular p-adic integral models for these varieties over odd primes p at which the level subgroup is the connected stabilizer of a vertex lattice in the orthogonal space. Our construction is obtained by combining results of Kisin and the first author with an explicit presentation and resolution of a corresponding local model.
Keywords
Cite
@article{arxiv.2102.02687,
title = {Regular integral models for Shimura varieties of orthogonal type},
author = {Georgios Pappas and Ioannis Zachos},
journal= {arXiv preprint arXiv:2102.02687},
year = {2021}
}
Comments
35 pp, to appear in Compositio Math