Geodesic
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, Tome 45 (1995) no. 4, pp. 1119-1121
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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 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 si deg (K) n’est pas un carré.

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     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},
     pages = {1119--1121},
     year = {1995},
     publisher = {Association des Annales de l{\textquoteright}institut Fourier},
     volume = {45},
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     doi = {10.5802/aif.1487},
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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

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