Degree of the First Integral of a Foliation in the Pencil ${\mathcal{P}}_4$

Liliana Puchuri Medina

Let ${\mathcal{P}}_4$ be the linear family of foliations of degree 4 in ${\mathbb{P}}^2$ given by A. Lins Neto, whose set of parameters with first integral $I_p({\mathcal{P}}_4)$ is dens…