Geodesic
On algebraic solutions of algebraic Pfaff equations
Studia Mathematica, Tome 114 (1995) no. 2, pp. 117-126

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

DOI

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. 
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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     title = {On algebraic solutions of algebraic {Pfaff} equations},
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     language = {fr},
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