English

Local monomialization conjecture of a singular foliation of Darboux type

Dynamical Systems 2015-01-26 v1

Abstract

After the nice result introduced by Belotto in [1] concerning the local monomialization of a singular foliation given by n first integrals, this work is a continuation in the same spirit. In this paper, we introduce a important conjecture about local monomialization of a singular foliation of Darboux type (see section 1). This conjecture can be used to study pseudo-abelian integrals [2,4].

Keywords

Cite

@article{arxiv.1501.05817,
  title  = {Local monomialization conjecture of a singular foliation of Darboux type},
  author = {Aymen Braghtha},
  journal= {arXiv preprint arXiv:1501.05817},
  year   = {2015}
}