Incoherent definite spaces and Shimura varieties
Number Theory
2020-05-12 v1
Abstract
In this paper, we introduce the notion of incoherent definite orthogonal and Hermitian spaces, and use their neighboring spaces as a tool for the local study of orthogonal and unitary Shimura varieties. This generalizes earlier work, using incoherent definite quaternion algebras in the local study of Shimura curves.
Cite
@article{arxiv.2005.05188,
title = {Incoherent definite spaces and Shimura varieties},
author = {Benedict H Gross},
journal= {arXiv preprint arXiv:2005.05188},
year = {2020}
}