The Hasse-Witt matrix of a formal group
type: Item
instance of: scholarly article
title: The Hasse-Witt matrix of a formal group
zbMATH Open document ID: 0535.14021
DOI: 10.1007/BF01175041
author: Harry A. W. M. Kneppers
published in: Mathematische Zeitschrift
publication date: 1985-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/173573
review text: First, we shall define the Hasse-Witt matrix of a formal group. It is a natural lifting of the classical Hasse-Witt matrix. The classification up to isomorphism of smooth commutative formal groups is a matter of finding normal forms for the Hasse-Witt matrix of a formal group. Assuming the ground field to be algebraically closed, we shall derive some preliminary reductions for arbitrary dimension. Furthermore, we shall give intrinsic definitions for the discrete isomorphism invariants. The general results, together with the definitions of the discrete parameters, enable us to realize the covariant classification of two-dimensional smooth commutative formal groups in a way which is more transparent and needs less subcases than the combersome techniques of the book ''The covariant classification of two-dimensional smooth commutative formal groups over an algebraically closed field of positive characteristic'' by the author (Mathematical Centre Tracts 157, Amsterdam 1983; Zbl 0509.14050); chapter 2.
Mathematics Subject Classification ID: 14L05
Mathematics Subject Classification ID: 11R18
zbMATH DE Number: 3849406
zbMATH Keywords: covariant classification of formal groups
zbMATH Keywords: Hasse-Witt matrix of a formal group
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 3849406