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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 étale local structure. In particular, we exhibit a stratification of their (singular) special fibers and give a partial calculation of the sheaf of nearby cycles.
Pappas et al. (Fri,) studied this question.
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