English

Remarks on foliations on $\mathbb{CP}^2$ with a unique singular point

Dynamical Systems 2024-11-06 v3

Abstract

This paper is a contribution to the study of foliations on CP2\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.

Keywords

Cite

@article{arxiv.2306.05719,
  title  = {Remarks on foliations on $\mathbb{CP}^2$ with a unique singular point},
  author = {Claudia R. Alcántara and Jorge Mozo-Fernández},
  journal= {arXiv preprint arXiv:2306.05719},
  year   = {2024}
}

Comments

22 pages

R2 v1 2026-06-28T11:00:46.841Z