Foliations with a radial Kupka set on projective spaces

preprint2013arXivOpen access

Abstract

We consider the set $K(n,c,\rtt)$ of codimension one holomorphic foliations on n,  n≥3¶^n,\,\, n\geq3, with Chern class cc, 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.

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