Congruence relations for Shimura varieties associated to some unitary groups

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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.
42 pages

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Algebraic Geometry, Number Theory, 14G35, 14K10 (Primary) 14G10, 11G15, 14K02, 11G25 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/63269

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0202026
 http://arxiv.org/abs/math/0202026

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arXiv