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arXiv:math/0202026 [math.AG]AbstractReferencesReviewsResources

Congruence relations for Shimura varieties associated to some unitary groups

O. Bueltel, T. Wedhorn

Published 2002-02-04Version 1

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.

Comments: 42 pages
Categories: math.AG, math.NT
Subjects: 14G35, 14K10, 14G10, 11G15, 14K02, 11G25
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