Local monomialization of a system of first integrals of Darboux type

  • André Belotto da Silva

    Université de Toulouse III Paul Sabatier, Toulouse, France

Abstract

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

Cite this article

André Belotto da Silva, Local monomialization of a system of first integrals of Darboux type. Rev. Mat. Iberoam. 34 (2018), no. 3, pp. 967–1000

DOI 10.4171/RMI/1012