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arXiv · 1308.5537

Rapoport-Zink spaces of Hodge type

Wansu Kim
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Abstract

When $p>2$, we construct a Hodge-type analogue of Rapoport-Zink spaces under the unramifiedness assumption, as formal schemes parametrising "deformations" (up to quasi-isogeny) of $p$-divisible groups with certain crystalline Tate tensors. We also define natural rigid analytic towers with expected extra structure, providing more examples of "local Shimura varieties" conjectured by Rapoport and Viehmann.

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Wansu Kim. 2013-08-26. Rapoport-Zink spaces of Hodge type. https://arxiv.org/abs/1308.5537

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