Sur la densité des systèmes de Pfaff sans solution algébrique
Annales de l'Institut Fourier, Volume 44 (1994) no. 1, pp. 271-276.

It is proved that in every rational surface, non-isomorphic to the projective plane, there exists an holomorphic foliation which is rigid and has algebraic leaves, having only isolated singularities.

On démontre que dans toute surface rationnelle, non-isomorphe au plan projectif, il existe une feuilletage analytique rigide, possédant des feuilles algébriques et n’ayant que des singularités isolées.

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     author = {Mendes, Luis G. and Sebastiani, Marcos},
     title = {Sur la densit\'e des syst\`emes de {Pfaff} sans solution alg\'ebrique},
     journal = {Annales de l'Institut Fourier},
     pages = {271--276},
     publisher = {Institut Fourier},
     address = {Grenoble},
     volume = {44},
     number = {1},
     year = {1994},
     doi = {10.5802/aif.1397},
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     zbl = {0792.58001},
     language = {fr},
     url = {http://archive.numdam.org/articles/10.5802/aif.1397/}
}
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Mendes, Luis G.; Sebastiani, Marcos. Sur la densité des systèmes de Pfaff sans solution algébrique. Annales de l'Institut Fourier, Volume 44 (1994) no. 1, pp. 271-276. doi : 10.5802/aif.1397. http://archive.numdam.org/articles/10.5802/aif.1397/

[LN]A. Lins Neto, Construction of singular holomorphic vector fields and foliations in dimension two, J. Differential Geometry, 26 (1987), 1-31. | MR | Zbl

[J]J.-P. Jouanolou, Equations de Pfaff algébriques, Lecture Notes in Math. Springer Verlag, vol. 708, 1979. | MR | Zbl

[B]A. Beauville, Surfaces Algébriques Complexes, Astérisque, vol. 54 (1978). | Numdam | MR | Zbl

[C-S]C. Camacho et P. Sad, Invariant varieties through singularities of holomorphic vector fields, Ann. of Math., 115 (1982), 579-595. | MR | Zbl

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