Foliations with a radial Kupka set on projective spaces

Abstract

We consider the set $K(n,c,\rtt)$ of codimension one holomorphic foliations on ${\P }^n,n\ge 3$, with Chern class $c$, and with a compact, connected Kupka set of radial transversal type. We will prove that foliations in this set, have a rational first integral and define an irreducible component of the space of foliations.

arXiv comment11 pages, no figure included