Dependence of Homogeneous Components of Polynomials with Small Degree of Poisson Bracket

Daria Holik, Marek Karaś

Let F,G in C[x_1,...,x_n] be two polynomials in n variables x_1,...,x_n over the complex numbers field C. In this paper, we prove that if the degree of the Poisson bracket [F,G] is…