Samir Bedrouni

activity

20182026

most citedGeometry of certain foliations on the complex projective plane

1 citations · 1 across the 6 of their papers we have counts for

collaborators

7 papers

math.DS2026

Holomorphy of the curvature of planar webs along an invariant curve and applications to the flatness of certain webs on $P_{C}^{2}$

Samir Bedrouni

Let $W = W_{n} ⊠ W_{d - n}$ be a $d$ -web on $(C^{2}, 0)$ , where $W_{n}$ is an $n$ -web admitting an irreducible totally invariant cur…

math.DS2023

Pre-foliations of co-degree one on $P_{C}^{2}$ with a flat Legendre transform

Samir Bedrouni

A holomorphic pre-foliation $F = ℓ ⊠ F$ of co-degree $1$ and degree $d$ on $P_{C}^{2}$ is the data of a line $ℓ$ of $\mathbb{P}^{2}_…

math.DS2022

A criterion for the holomorphy of the curvature of smooth planar webs and applications to dual webs of homogeneous foliations on $P_{C}^{2}$

Samir Bedrouni, David Marín

Let $d \geq 3$ be an integer. For a holomorphic $d$ -web $W$ on a complex surface $M$ , smooth along an irreducible component $D$ of its discriminant $Δ (W),$ we est…

math.DS2021★ 1 cited

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…

Holomorphy of the curvature of planar webs along an invariant curve and applications to the flatness of certain webs on PC2​

Pre-foliations of co-degree one on PC2​ with a flat Legendre transform

A criterion for the holomorphy of the curvature of smooth planar webs and applications to dual webs of homogeneous foliations on PC2​

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

Holomorphy of the curvature of planar webs along an invariant curve and applications to the flatness of certain webs on $P_{C}^{2}$

Pre-foliations of co-degree one on $P_{C}^{2}$ with a flat Legendre transform

A criterion for the holomorphy of the curvature of smooth planar webs and applications to dual webs of homogeneous foliations on $P_{C}^{2}$

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