Irreducible components of the space of holomorphic foliations of degree two in $\mathrm{C}P(n)$, $n\ge 3$

Abstract

In this paper we will prove that the space of holomorphic foliations of codimension $1$ and degree $2$ in $\mathbf{C}P(n)$, $n\ge 3, has six irreducible components.