RAPOPORT-ZINK SPACES OF HODGE TYPE

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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.
Original languageEnglish
Number of pages79
JournalFORUM OF MATHEMATICS SIGMA
Publication statusAccepted/In press - 24 Apr 2018

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