A splitting theorem for the Kupka component of a foliation of 𝐂𝐏 n ,n≄6. Addendum to a paper by O. Calvo-Andrade and N. Soares
Annales de l'Institut Fourier, Volume 45 (1995) no. 4, p. 1119-1121

Here we show that a Kupka component K of a codimension 1 singular foliation F of CP n ,n≄6 with deg (K) not a square is a complete intersection. The result implies the existence of a meromorphic first integral of F.

On considĂšre ici les feuilletages holomorphes singuliers de codimension 1 dans CP n ,n≄6, avec une composante de Kupka compacte K. On dĂ©montre que K est une intersection complĂšte si deg (K) n’est pas un carrĂ©.

@article{AIF_1995__45_4_1119_0,
     author = {Ballico, Edoardo},
     title = {A splitting theorem for the Kupka component of a foliation of ${\bf C} {\bf P}^n,\,n\ge 6$. Addendum to a paper by O. Calvo-Andrade and N. Soares},
     journal = {Annales de l'Institut Fourier},
     publisher = {Association des Annales de l'institut Fourier},
     volume = {45},
     number = {4},
     year = {1995},
     pages = {1119-1121},
     doi = {10.5802/aif.1487},
     zbl = {0831.58046},
     mrnumber = {97h:32050},
     language = {en},
     url = {http://www.numdam.org/item/AIF_1995__45_4_1119_0}
}
Ballico, Edoardo. A splitting theorem for the Kupka component of a foliation of ${\bf C} {\bf P}^n,\,n\ge 6$. Addendum to a paper by O. Calvo-Andrade and N. Soares. Annales de l'Institut Fourier, Volume 45 (1995) no. 4, pp. 1119-1121. doi : 10.5802/aif.1487. http://www.numdam.org/item/AIF_1995__45_4_1119_0/

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