p-adic period map for the moduli space of deformations of a formal group

摘要

The moduli space of deformations of a formal group over a finite field is studied. We consider Lubin-Tate and Dieudonne approaches and find an explicit relation between them employing Hazewinkel's universal p-typical formal group, Honda's theory and rigid power series. The formula obtained allows to give an explicit description of the action of the automorphism group of the formal group on the moduli space. It essentially generalizes an analogous result of Gross and Hopkins [Contemp. Math. 158 (1994) 23-88]. (c) 2005 Elsevier Inc. All rights reserved.