Classification of absolutely dicritical foliations of cusp type.

Yohann Genzmer (1)

1 IMT - Institut de Mathématiques de Toulouse UMR5219

We give a classification of absolutely dicritical foliations of cusp type, that is, the germ of singularities of complex foliations in the complex plane topologically equivalent to the singularity given by the level of the meromorphic function \frac{y^{2}+x^{3}}{xy}.

Mots clés: singularities; foliations

Domaines: Variables complexes [math.CV]; Systèmes dynamiques [math.DS]

Yohann Genzmer. Classification of absolutely dicritical foliations of cusp type.. Publicacions Matemàtiques, 2013. ⟨hal-00676885⟩