An extension of the Newton-Puiseux polygon construction to give solutions of Pfaffian forms
type: Item
instance of: scholarly article
title: An extension of the Newton-Puiseux polygon construction to give solutions of Pfaffian forms
zbMATH Open document ID: 0766.34006
publication date: 1993-06-13T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/74984
review text: We give a proof of the fact that any holomorphic Pfaffian form in two variables has a convergent integral curve. The proof gives an effective method to construct the solution, and we extend it to get a Gevrey type solution for a Gevrey form.
Mathematics Subject Classification ID: 34M99
Mathematics Subject Classification ID: 58A17
Mathematics Subject Classification ID: 34E05
zbMATH DE Number: 179551
zbMATH Keywords: Newton polygon
zbMATH Keywords: holomorphic
zbMATH Keywords: Pfaffian form
zbMATH Keywords: convergent integral curve
zbMATH Keywords: Gevrey type solution
zbMATH Keywords: Gevrey form
author: J. Cano
MaRDI profile type: Publication
OpenAlex ID: W2017112157
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DOI: 10.5802/AIF.1324
published in: Annales de l’institut Fourier
description: scientific article; zbMATH DE number 179551