Branched pull-back components of the space of codimension $2$ foliations on ${\mathbb{P}}^4$

Abstract

We present a new list of irreducible components of the space of codimension two holomorphic foliations on ${\mathbb{P}}^4$. They are associated to the pull-back by branched rational maps of 1-dimensional foliations on ${\mathbb{P}}^3$ leaving $2$-dimensional planes invariant.

18 pages