Separatrices for $\mathbb{C}^2$ actions on 3-manifolds

Julio C. Rebelo; Helena Reis

doi:10.4171/cmh/300

JournalscmhVol. 88, No. 3pp. 677–714

Separatrices for $C^{2}$ actions on 3-manifolds

Julio C. Rebelo
Université Toulouse 3, France
Helena Reis
Universidade do Porto, Portugal

$Separatrices for $\mathbb{C}^2$ actions on 3-manifolds cover$

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Abstract

We prove the existence of a separatrix for the codimension 1 singular foliation spanned by two commuting holomorphic vector fields on a neighborhood of the origin in $C^{3}$ .

Cite this article

Julio C. Rebelo, Helena Reis, Separatrices for $C^{2}$ actions on 3-manifolds. Comment. Math. Helv. 88 (2013), no. 3, pp. 677–714

DOI 10.4171/CMH/300