Local monomialization of a system of first integrals of Darboux type

• André Belotto da Silva ^[1]
  1. [1] Université de Toulouse

     Université de Toulouse

     Arrondissement de Toulouse, Francia

     
• Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 34, Nº 3, 2018, págs. 967-1000
• Idioma: inglés
• DOI: 10.4171/RMI/1012
• Texto completo no disponible (Saber más ...)
• Resumen

  • Given a real- or complex-analytic singular foliation θ with n first integrals of meromorphic or Darboux type (f1,…,fn), we prove that there exists a local monomialization of the first integrals. In particular, if θ is generated by the n first integrals, we prove the existence of a local reduction of singularities of θ to monomial singularities.