Local monomialization conjecture of a singular foliation of Darboux type

Aymen Braghtha (1)

1 IMB - Institut de Mathématiques de Bourgogne [Dijon]

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].

Domaines: Systèmes dynamiques [math.DS]

Aymen Braghtha. Local monomialization conjecture of a singular foliation of Darboux type. 2015. ⟨hal-01108702⟩