RAPOPORT–ZINK SPACES OF HODGE TYPE

WANSU KIM
2018 Forum of Mathematics, Sigma  
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.
doi:10.1017/fms.2018.6 fatcat:bd7e6imyxbagxn4i4t2tfdifji