Convex foliations of degree 4 on the complex projective plane

Samir Bedrouni, David Marín

We show that up to automorphisms of ${\mathbb{P}}_{\mathbb{C}}^2$ there are $5$ homogeneous convex foliations of degree four on ${\mathbb{P}}_{\mathbb{C}}^2.$ Using this result, we give…