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

Oleg Demchenko, Alexander Gurevich*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

5 Scopus citations

Abstract

The moduli space of deformations of a formal group over a finite field is studied. We consider Lubin-Tate and Dieudonné 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].

Original languageAmerican English
Pages (from-to)445-462
Number of pages18
JournalJournal of Algebra
Volume288
Issue number2
DOIs
StatePublished - 15 Jun 2005
Externally publishedYes

Keywords

  • Deformations of formal groups
  • p-adic period maps

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