Abstract
Consider a PEL-Shimura variety associated to a unitary group that splits over an unramified extension of \(\Q_p\). Rapoport and Zink have defined a model of the Shimura variety over the ring of integers of the completion of the reflex field at a place lying over p, with parahoric level structures at p. We show that this model is flat, as conjectured by Rapoport and Zink, and that its special fibre is reduced.
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