Classification of finitely determined singularities of formal vector fields on the plane
type: Item
instance of: scholarly article
title: Classification of finitely determined singularities of formal vector fields on the plane
zbMATH Open document ID: 0596.58007
author: Fumio Ichikawa
published in: Tokyo Journal of Mathematics
publication date: 1985-01-01T00:00:00Z
review text: A characterization of finite determinacy of formal vector fields was given by the author in earlier papers [Invent. Math. 66, 199-214 (1982; Zbl 0491.58025); ibid. 70, 45-52 (1982; Zbl 0504.58010)]. In this paper, a classification of finitely determined singularities of formal vector fields in the 2-dimensional case is given. Reference is also made to \textit{J. Martinet}'s report [Sémin. Bourbaki, Exp. 564, Lect. Notes Math. 901, 55-70 (1981; Zbl 0481.34013)].
Mathematics Subject Classification ID: 58C25
Mathematics Subject Classification ID: 58K99
zbMATH DE Number: 3960587
zbMATH Keywords: finite determinacy of formal vector fields
zbMATH Keywords: finitely determined singularities
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.3836/tjm/1270151227
OpenAlex ID: W2056446837
DOI: 10.3836/TJM/1270151227
description: scientific article; zbMATH DE number 3960587