Resumen de Darboux Integrability For Polynomial Vector Fields Invariant Under Action of Finite Group

Mauricio Jr. Correa

• In this paper we present a Darboux–Jouanolou integrability type theorem for polynomial vector fields invariant under action of finite group. As corollary, we obtain a generalization of Darboux–Jouanolou integrability theorem for affine algebraic varieties with quotient singularities.