Samir Bedrouni

activity

20182021

collaborators

4 papers

math.DS2021

Geometry of certain foliations on the complex projective plane

Samir Bedrouni, David Marín

Let $d \geq 2$ be an integer. The set $F (d)$ of foliations of degree $d$ on the complex projective plane can be identified with a Zariski's open set of a projective space of…

math.DS2019

Convex foliations of degree 5 on the complex projective plane

Samir Bedrouni, David Marín

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

math.DG2018

Convex foliations of degree 4 on the complex projective plane

Samir Bedrouni, David Marín

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

math.DS2018

Classification of foliations of degree three on $P_{C}^{2}$ with a flat Legendre transform

Samir Bedrouni, David Marín

The set $F (3)$ of foliations of degree three on the complex projective plane can be identified with a Zariski's open set of a projective space of dimension $23$ on which a…

Geometry of certain foliations on the complex projective plane

Convex foliations of degree 5 on the complex projective plane

Convex foliations of degree 4 on the complex projective plane

Classification of foliations of degree three on PC2​ with a flat Legendre transform

Classification of foliations of degree three on $P_{C}^{2}$ with a flat Legendre transform