Covariant Honda theory
type: Item
instance of: scholarly article
title: Covariant Honda theory
zbMATH Open document ID: 1127.14041
published in: Tôhoku Mathematical Journal. Second Series
publication date: 2006-01-26T00:00:00Z
review text: To every formal group \(F\), Honda in 1970 attached a matrix called (left) type to explicitly describe \(F\). Here the author attaches to each \(F\) another matrix (called right type) over the noncommutative twisted power series ring \(E\), which is connected with the reduction of \(F\), where \(F\) is over \(k\) and \(\mathcal{O}\), a perfect field with char \(k=p\neq 0\) and its ring of Witt vectors. An analogue of the Dieudonné module is constructed, and equivalence between the categories of formal groups and (certain) right modules is established. As an application, the \( \star \)-isomorphism classes of the deformations of a formal group and the action of its automorphism group on these classes are studied.
reviewed by: Xianke Zhang
Mathematics Subject Classification ID: 14L05
Mathematics Subject Classification ID: 11S31
zbMATH DE Number: 5001912
zbMATH Keywords: formal group
zbMATH Keywords: Honda theory
zbMATH Keywords: Dieudonné module
zbMATH Keywords: \(p\)-adic period map
author: Oleg Demchenko
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.2748/tmj/1128702999
OpenAlex ID: W2089495136
cites work: Q4681873
cites work: \(p\)-adic period map for the moduli space of deformations of a formal group
cites work: Q4097402
cites work: On the theory of commutative formal groups
cites work: Q3901604
cites work: Formal moduli for one-parameter formal Lie groups
DOI: 10.2748/TMJ/1128702999
description: scientific article; zbMATH DE number 5001912