G-displays of Hodge type and formal p-divisible groups

نویسندگان

چکیده

Let G be a reductive group scheme over the p-adic integers, and let $$\mu $$ minuscule cocharacter for G. In Hodge-type case, we construct functor from nilpotent $$(G,\mu )$$ -displays p-nilpotent rings R to formal p-divisible groups equipped with crystalline Tate tensors. When R/pR has p-basis étale locally, show that this defines an equivalence between two categories. The definition of relies on construction G-crystal associated any adjoint -display, which extends Dieudonné crystal Zink display. As application, obtain explicit comparison Rapoport-Zink functors Hodge type defined by Kim Bültel Pappas.

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ژورنال

عنوان ژورنال: Manuscripta Mathematica

سال: 2023

ISSN: ['0025-2611', '1432-1785']

DOI: https://doi.org/10.1007/s00229-023-01471-w