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arXiv · 2103.00537

Foliations on $\mathbb{P}^2$ with only one singular point

Percy Fernández·Liliana Puchuri·Rudy Rosas
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Abstract

In this paper we study holomorphic foliations on $\mathbb{P}^2$ with only one singular point. If the singularity has algebraic multiplicity one, we prove that the foliation has no invariant algebraic curve. We also present several examples of such foliations in degree three.

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Percy Fernández, Liliana Puchuri, Rudy Rosas. 2021-02-28. Foliations on $\mathbb{P}^2$ with only one singular point. https://arxiv.org/abs/2103.00537

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