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Irreducible components of the space of holomorphic foliations.

Omegar Calvo-Andrade — 1994

Mathematische Annalen

Chern numbers of a Kupka component

Omegar Calvo-Andrade; Marcio G. Soares — 1994

Annales de l'institut Fourier

We will consider codimension one holomorphic foliations represented by sections $ω \in H^{0} (ℙ^{n}, Ω^{1} (k))$ , and having a compact Kupka component $K$ . We show that the Chern classes of the tangent bundle of $K$ behave like Chern classes of a complete intersection 0 and, as a corollary we prove that $K$ is a complete intersection in some cases.

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