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math.DS2024
Effective Integrability of Lins Neto's Family of Foliations
Liliana Puchuri, Luís Gustavo Mendes
A. Lins Neto presented in [Lins-Neto,2002] a -dimensional family of degree four foliations on the complex projective plane with non-d…
math.DS2021
Foliations on with only one singular point
Percy Fernández, Liliana Puchuri, Rudy Rosas
In this paper we study holomorphic foliations on with only one singular point. If the singularity has algebraic multiplicity one, we prove that the foliation has no…
math.DS2016
A new proof of the classification of Elliptic Foliations induced by real Quadratic Fields with center
Liliana Puchuri, Orestes Bueno
In this work, we give a new proof of the classification of the Lotka-Volterra and Reversible foliations, originally given by Gautier. This new proof, involves an unified technique…