Invariant algebraic curves and rational first integrals of holomorphic foliations in \(\mathbb C P(2)\)
type: Item
instance of: scholarly article
title: Invariant algebraic curves and rational first integrals of holomorphic foliations in \(\mathbb C P(2)\)
zbMATH Open document ID: 1217.37049
author: Xiang Zhang
published in: Science in China. Series A
publication date: 2011-07-21T00:00:00Z
Mathematics Subject Classification ID: 37F75
Mathematics Subject Classification ID: 32S65
zbMATH DE Number: 5929750
zbMATH Keywords: holomorphic foliation
zbMATH Keywords: invariant algebraic curve
zbMATH Keywords: rational first integral
zbMATH Keywords: cubic limit cycle
MaRDI profile type: Publication
full work available at URL: 03ys9029
OpenAlex ID: W1571780622
cites work: Q3833311
cites work: Invariant algebraic curves and rational first integrals for planar polynomial vector fields
cites work: Elementary First Integrals of Differential Equations
cites work: Liouvillian First Integrals of Differential Equations
cites work: Holomorphic foliations in \(CP(2)\) having an invariant algebraic curve
cites work: The Poincaré problem in the nondicritical case
cites work: Proximity inequalities and bounds for the degree of invariant curves by foliations of ℙ_{ℂ}²
cites work: Invariant algebraic surfaces of the Lorenz system
cites work: Q4008613
cites work: Q4715040
cites work: Q5571530
cites work: On a Result of Darboux
DOI: 10.1360/03YS9029
description: scientific article; zbMATH DE number 5929750