On considère ici les feuilletages holomorphes singuliers de codimension 1 dans , avec une composante de Kupka compacte . On démontre que est une intersection complète si n’est pas un carré.
Here we show that a Kupka component of a codimension 1 singular foliation of with not a square is a complete intersection. The result implies the existence of a meromorphic first integral of .
@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}, volume = {45}, year = {1995}, pages = {1119-1121}, doi = {10.5802/aif.1487}, mrnumber = {97h:32050}, zbl = {0831.58046}, language = {en}, url = {http://dml.mathdoc.fr/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, Tome 45 (1995) pp. 1119-1121. doi : 10.5802/aif.1487. http://gdmltest.u-ga.fr/item/AIF_1995__45_4_1119_0/
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