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On the flatness of local models for the symplectic group

Ulrich Goertz
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Abstract

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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Ulrich Goertz. 2000-11-23. On the flatness of local models for the symplectic group. https://arxiv.org/abs/math/0011202

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