Geodesic
On algebraic solutions of algebraic Pfaff equations
Studia Mathematica, Tome 114 (1995) no. 2, pp. 117-126 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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We give a new proof of Jouanolou's theorem about non-existence of algebraic solutions to the system $ẋ=z^{s}, ẏ=x^{s}, ż=y^{s}$. We also present some generalizations of the results of Darboux and Jouanolou about algebraic Pfaff forms with algebraic solutions. 
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     author = {Henryk \.Zo{\l}\k{a}dek},
     title = {On algebraic solutions of algebraic {Pfaff} equations},
     journal = {Studia Mathematica},
     pages = {117--126},
     year = {1995},
     volume = {114},
     number = {2},
     doi = {10.4064/sm-114-2-117-126},
     language = {fr},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/sm-114-2-117-126/}
}
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Henryk Żołądek. On algebraic solutions of algebraic Pfaff equations. Studia Mathematica, Tome 114 (1995) no. 2, pp. 117-126. doi: 10.4064/sm-114-2-117-126

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