Pre-foliations of co-degree one on ${\mathbb{P}}_{\mathbb{C}}^2$ with a flat Legendre transform

Samir Bedrouni

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