Samir Bedrouni

collaborators

3 papers

math.DS2026

On the holomorphy of the curvature of planar webs along an invariant curve

Samir Bedrouni

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

math.DS2024

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.DS2024

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 MarÃn

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 $I^ (W),$ we es…

On the holomorphy of the curvature of planar webs along an invariant curve

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​

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 $P_{C}^{2}$