Congruence relations for Shimura varieties associated to some unitary groups
Algebraic Geometry
2007-05-23 v1 Number Theory
Abstract
In this paper we study the reduction of PEL-Shimura varieties associated to unitary groups of signature (n-1,1) in the inert and unramified case. We describe the Newton polygon and the Ekedahl-Oort stratification. We further study the associated moduli space of isogenies and use a variant of the local model to give a generic description. As an application we prove a conjecture of Blasius und Rogawski about the congruence relation if the integer n is even.
Keywords
Cite
@article{arxiv.math/0202026,
title = {Congruence relations for Shimura varieties associated to some unitary groups},
author = {O. Bueltel and T. Wedhorn},
journal= {arXiv preprint arXiv:math/0202026},
year = {2007}
}
Comments
42 pages