Local models in the ramified case. II. Splitting models

Details Local models in the ramified case. II. Splitting models Local models in the ramified case. II. Splitting models

2002-05-02

arxiv.org/abs/math/0205021v2

Mathematics

Algebraic Geometry

LaTeX, 51 pages, to appear in the Duke Math. Journal

Scientific paper

This paper is a continuation of our paper math.AG/0006222. We study the reduction of certain PEL Shimura varieties with parahoric level structure at primes p at which the group that defines the Shimura variety ramifies. We describe "good" $p$-adic integral models of these Shimura varieties and study their 'etale local structure. In particular, we exhibit a stratification of their (singular) special fibers and give a partial calculation of the sheaf of nearby cycles.

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