Convex foliations of degree 4 on the complex projective plane

Samir Bedrouni; David Marín

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arXiv · 1811.07735

Convex foliations of degree 4 on the complex projective plane

Samir Bedrouni·David Marín

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Abstract

We show that up to automorphisms of $\mathbb{P}^2_{\mathbb C}$ there are $5$ homogeneous convex foliations of degree four on $\mathbb{P}^2_{\mathbb C}.$ Using this result, we give a partial answer to a question posed in $2013$ by D. {Mar\'in} and J. {Pereira} about the classification of reduced convex foliations on~$\mathbb{P}^2_{\mathbb C}.$

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Samir Bedrouni, David Marín. 2018-11-16. Convex foliations of degree 4 on the complex projective plane. https://arxiv.org/abs/1811.07735

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