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

• Maurício Corrêa Jr. ^[1]
  1. [1] Universidade Federal de Viçosa

     Universidade Federal de Viçosa

     Brasil

     
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 11, Nº 1, 2012 (Ejemplar dedicado a: Algebraic and Analytic Techniques for Polynomial Vector Fields), págs. 159-166
• Idioma: inglés
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• Resumen

  • 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.