no. 4
A splitting theorem for the Kupka component of a foliation of ℂℙ n ,n≥6. Addendum to an addendum to a paper by Calvo-Andrade and Soares
Annales de l'Institut Fourier, Tome 49 (1999) no. 4, pp. 1423-1425.

On considère ici les feuilletages holomorphes singuliers de codimension 1 dans ℂℙ n ,n≥6 avec une composante de Kupka compacte K. On démontre que K est une intersection complète.

Here we show that a Kupka component K of a codimension 1 singular foliation F of ℂℙ n ,n≥6 is a complete intersection. The result implies the existence of a meromorphic first integral of F. The result was previously known if deg (K) was assumed to be not a square.

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     author = {Ballico, Edoardo},
     title = {A splitting theorem for the {Kupka} component of a foliation of ${\mathbb {C}}{\mathbb {P}}^n,\;n\ge 6$. {Addendum} to an addendum to a paper by {Calvo-Andrade} and {Soares}},
     journal = {Annales de l'Institut Fourier},
     pages = {1423--1425},
     publisher = {Association des Annales de l{\textquoteright}institut Fourier},
     volume = {49},
     number = {4},
     year = {1999},
     doi = {10.5802/aif.1723},
     mrnumber = {2001b:32059},
     zbl = {0959.32037},
     language = {en},
     url = {http://www.numdam.org/articles/10.5802/aif.1723/}
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Ballico, Edoardo. A splitting theorem for the Kupka component of a foliation of ${\mathbb {C}}{\mathbb {P}}^n,\;n\ge 6$. Addendum to an addendum to a paper by Calvo-Andrade and Soares. Annales de l'Institut Fourier, Tome 49 (1999) no. 4, pp. 1423-1425. doi : 10.5802/aif.1723. http://www.numdam.org/articles/10.5802/aif.1723/

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