The Cartan-Tresse linearization polynomial and applications
type: Item
instance of: scholarly article
title: The Cartan-Tresse linearization polynomial and applications
zbMATH Open document ID: 1154.13009
author: Olivier Ripoll
author: Julien Sebag
published in: Journal of Algebra
publication date: 2008-10-22T00:00:00Z
review text: The authors study differential equations of the form \(P(x,y,y')=0\) where \(P\) is a polynomial. The Cartan-Tresse linearization polynomial is a differential polynomial which is defined in order to tell whether \(P\) is linearizable, i.e. whether after a suitable holomorphic change of coordinates the integral curves of the equation become (germs of) straight lines. The authors study the influence of the Cartan-Tresse linearization polynomial in some classical problems of analysis, differential algebra and geometry, such as singular solutions, the Ritt problem or webs theory.
Mathematics Subject Classification ID: 13N99
zbMATH DE Number: 5355723
zbMATH Keywords: differential algebra
zbMATH Keywords: singular solutions
zbMATH Keywords: web geometry
zbMATH Keywords: Cartan-Tresse linearization polynomial
reviewed by: Vladimir P. Kostov
MaRDI profile type: Publication
full work available at URL: j.jalgebra.2008.04.026
OpenAlex ID: W2090282875
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DOI: 10.1016/J.JALGEBRA.2008.04.026
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description: scientific article; zbMATH DE number 5355723