PUB - Publikationen an der Universität Bielefeld

Drinfeld proved that the p-adic upper half space Omega(d)(F) for a p-adic local field F is the general fiber of a formal scheme which is the moduli space of special formal O-D-modules, where D is a central division algebra with invariant 1/d over F. We give examples of other moduli problems of p-divisible formal groups which have general fiber Omega(d)(F). We show that, when F/Q(p) is unramified, our moduli spaces actually agree with Drinfeld's space. Using our results in the ramified case, P. Scholze has proved this in general. We also consider a variant for the Lubin-Tate moduli problem.