A constructive proof of the Density of Algebraic Pfaff Equations without Algebraic Solutions  [ Une preuve constructive de la densité des équations de Pfaff sans solutions algébriques ]
Annales de l'Institut Fourier, Tome 57 (2007) no. 5, pp. 1611-1621.

Nous présentons une preuve constructive du fait que l’ensemble des équations de Pfaff sans solutions algébriques sur le plan projectif complexe est dense dans l’ensemble de toutes les équations algébriques de Pfaff d’un degré donné.

We present a constructive proof of the fact that the set of algebraic Pfaff equations without algebraic solutions over the complex projective plane is dense in the set of all algebraic Pfaff equations of a given degree.

Reçu le : 2006-05-16
Accepté le : 2006-08-22
DOI : https://doi.org/10.5802/aif.2308
Classification : 11R04,  37F75,  34M45,  32S65
Mots clés: équations de Pfaff, singularité, solution algébrique
@article{AIF_2007__57_5_1611_0,
     author = {Coutinho, S. C.},
     title = {A constructive proof of the Density of~Algebraic Pfaff Equations without Algebraic Solutions},
     journal = {Annales de l'Institut Fourier},
     publisher = {Association des Annales de l'institut Fourier},
     volume = {57},
     number = {5},
     year = {2007},
     pages = {1611-1621},
     doi = {10.5802/aif.2308},
     zbl = {1130.34065},
     mrnumber = {2364144},
     language = {en},
     url = {aif.centre-mersenne.org/item/AIF_2007__57_5_1611_0/}
}
Coutinho, S. C. A constructive proof of the Density of Algebraic Pfaff Equations without Algebraic Solutions. Annales de l'Institut Fourier, Tome 57 (2007) no. 5, pp. 1611-1621. doi : 10.5802/aif.2308. https://aif.centre-mersenne.org/item/AIF_2007__57_5_1611_0/

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