A monograph that associates p-adic period domains to arbitrary reductive groups. Using the concept of rigid-analytic period maps, it investigates the relation of p-adic period domains to moduli space of p-divisible groups. It also establishes non-archimedean uniformization theorems for general Shimura varieties.
M. Rapoport is Professor of Mathematics at the University of Wuppertal. Th. Zink is Professor of Mathematics at the University of Bielefeld.