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

Published 28 Feb 2021 in math.DS | (2103.00537v1)

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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