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RAPOPORT-ZINK SPACES OF HODGE TYPE

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Original languageEnglish
Number of pages79
JournalFORUM OF MATHEMATICS SIGMA
Accepted/In press24 Apr 2018

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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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