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Main Authors: Alcántara, Claudia R., Mozo-Fernández, Jorge
Format: Preprint
Published: 2023
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Online Access:https://arxiv.org/abs/2306.05719
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author Alcántara, Claudia R.
Mozo-Fernández, Jorge
author_facet Alcántara, Claudia R.
Mozo-Fernández, Jorge
contents This paper is a contribution to the study of foliations on $\mathbb{CP}^2$ 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.
format Preprint
id arxiv_https___arxiv_org_abs_2306_05719
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Remarks on foliations on $\mathbb{CP}^2$ with a unique singular point
Alcántara, Claudia R.
Mozo-Fernández, Jorge
Dynamical Systems
32S65
This paper is a contribution to the study of foliations on $\mathbb{CP}^2$ 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.
title Remarks on foliations on $\mathbb{CP}^2$ with a unique singular point
topic Dynamical Systems
32S65
url https://arxiv.org/abs/2306.05719