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April 1, 2005Duke Mathematical Journal60 citations

Local models in the ramified case, II: Splitting models

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GPG. PappasMRMichael Rapoport

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Abstract

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.

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Pappas et al. (2005) studied this question.

synapsesocial.com/papers/6a1bec281567d2fc4d5f437chttps://doi.org/10.1215/s0012-7094-04-12721-6
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