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

Ballico, Edoardo

doi:10.5802/aif.1487

A splitting theorem for the Kupka component of a foliation of

𝐂 𝐏^{n}, n \geq 6

. Addendum to a paper by O. Calvo-Andrade and N. Soares

Ballico, Edoardo

Annales de l'Institut Fourier, Tome 45 (1995) no. 4, pp. 1119-1121

Abstract (VO)
Résumé

Here we show that a Kupka component $K$ of a codimension 1 singular foliation $F$ of $C P^{n}, n \geq 6$ with $\deg (K)$ not a square is a complete intersection. The result implies the existence of a meromorphic first integral of $F$ .

On considère ici les feuilletages holomorphes singuliers de codimension 1 dans $C P^{n}, n \geq 6$ , avec une composante de Kupka compacte $K$ . On démontre que $K$ est une intersection complète si $\deg (K)$ n’est pas un carré.

MR Zbl | 2 citations dans Numdam

DOI : 10.5802/aif.1487

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     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},
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     year = {1995},
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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, Tome 45 (1995) no. 4, pp. 1119-1121. doi: 10.5802/aif.1487

Bibliographie
Cité par

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