On the flatness of local models for the symplectic group

Details On the flatness of local models for the symplectic group On the flatness of local models for the symplectic group

2000-11-23

arxiv.org/abs/math/0011202v1

Mathematics

Algebraic Geometry

31 pages, LaTeX

Scientific paper

We investigate the bad reduction of certain Shimura varieties (associated to
the symplectic group). More precisely, we look at a model of the Shimura
variety at a prime p, with parahoric level structure 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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