RAPOPORT–ZINK SPACES OF HODGE TYPE

Abstract

When p > 2, we construct a Hodge-type analogue of Rapoport-Zink spaces under the unramifiedness assumption, as formal schemes parametrizing '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.