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Foliations on ℙ2 with only one singular point

2021/02/28 by Fernández, Percy, Puchuri, Liliana, Rosas, Rudy
#32M25 #32S65 #37F75 #Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.2103.00537

Abstract

In this paper we study holomorphic foliations on ℙ2 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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