## Abstract

A recent result by the authors gives an explicit construction for a universal deformation of a formal group φ of finite height over a finite field k. This provides in particular a parametrization of the set of deformations of φ over the ring O of Witt vectors over k. Another parametrization of the same set can be obtained through the Dieudonné theory. We find an explicit relation between these parameterizations. As a consequence, we obtain an explicit expression for the action of Autk(φ) on the set of O-deformations of φ in the coordinate system defined by the universal deformation. This generalizes a formula of Gross and Hopkins and the authors' result for one-dimensional formal groups.

Original language | American English |
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Pages (from-to) | 42-57 |

Number of pages | 16 |

Journal | Nagoya Mathematical Journal |

Volume | 235 |

DOIs | |

State | Published - 1 Sep 2019 |

### Bibliographical note

Publisher Copyright:© 2017 Foundation Nagoya Mathematical Journal .