6 papers
Explicit integration, birational models and symmetries of Lins Neto's exceptional families of foliations
Adolfo Guillot, Luís Gustavo Mendes, Wodson Mendson +1
In 2002, Lins Neto introduced three remarkable one-parameter families of holomorphic foliations by curves on the complex projective plane, of degrees two, three, and four, whose pr…
Negative Curves and Elliptic Fibrations on a Special Rational Surface
Luís Gustavo Mendes, Liliana Puchuri
The blown up complex projective plane in the twelve triple points of the dual Hesse arrangement has an infinite number of irreducible rational curves of self-intersection , for…
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…
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…
Classification of flat pencils of foliations on compact complex surfaces
Liliana Puchuri
Related to the classification of regular foliations in a complex algebraic surface, we address the problem of classifying the complex surfaces which admit a flat pencil of foliatio…
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…