On the flatness of models of certain Shimura varieties of PEL-type

Details On the flatness of models of certain Shimura varieties of PEL-type On the flatness of models of certain Shimura varieties of PEL-type

1999-12-08

arxiv.org/abs/math/9912064v1

Mathematics

Algebraic Geometry

41 pages, LaTeX

Scientific paper

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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