A Family of Foliations with One Singularity

This paper is a contribution to the study of foliations on $${{\mathbb {C}}}{{\mathbb {P}}}^2$$ C P 2 with a unique singularity. We provide an explicit example in degree 7 of such a foliation, in the non dicritical case, having a divergent separatrix, and subsequently, we study different families of such foliations in low degree.

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A Family of Dicritical Foliations with One Singularity

Coutinho,

Oliveira

2024

Qual. Theory Dyn. Syst.

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A Family of Foliations with One Singularity

Cited by 3 publications

References 10 publications

Singularities of Holomorphic Codimension One Foliations of the Complex Projective Plane

Singularities of Holomorphic Codimension One Foliations of the Complex Projective Plane

Remarks on Foliations on $${{\mathbb {C}}}{{\mathbb {P}}}^2$$ with a Unique Singular Point

A Family of Dicritical Foliations with One Singularity

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