Convex foliations of degree 4 on the complex projective plane

2018/11/16 by Bedrouni, Samir, Marín, David · 1 citation
#32M25 #32S65 #37F75 #Complex Variables (math.CV) #Differential Geometry (math.DG) #Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.1811.07735

Abstract

We show that up to automorphisms of ℙ²_{\mathbb C} there are 5 homogeneous convex foliations of degree four on ℙ²_{\mathbb C}. Using this result, we give a partial answer to a question posed in 2013 by D. Marín and J. Pereira about the classification of reduced convex foliations on~ℙ²_{\mathbb C}.

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• Homogeneous Convex Foliations of degree 6

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