On algebraic solutions of algebraic Pfaff equations
Volume 114 / 1995
Studia Mathematica 114 (1995), 117-126
DOI: 10.4064/sm-114-2-117-126
Abstract
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.
