Convex foliations of degree 5 on the complex projective plane

Samir Bedrouni, David Marín

We show that up to automorphisms of ${\mathbb{P}}_{\mathbb{C}}^2$ there are $14$ homogeneous convex foliations of degree $5$ on ${\mathbb{P}}_{\mathbb{C}}^2.$ We establish some properties…