nLab Rapoport-Zink space


A Rapoport-Zink space is a formal scheme parametrizing deformations of a p-divisible group. They may be thought of as local analogs of Shimura varieties.


  • M. Rapoport, Th. Zink, Period spaces for pp-divisible groups, Annals of Mathematics Studies, vol. 141, Princeton University Press, Princeton, NJ, 1996.

Review of the first three sections of (Rapoport-Zink 96) is in

  • Rapoport-Zink spaces, lecture notes 2013 pdf

Further lecture notes include

  • KIAS Intensive Lecture Series on Shimura varieties and Rapoport-Zink spaces (web)

Further developments include

Comments on the relation to shtukas in view of the function field analogy are in

Last revised on August 1, 2023 at 21:04:37. See the history of this page for a list of all contributions to it.