4 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…
Birational Geometry of Special Quotient Foliations and Chazy's Equations
Adolfo Guillot, Luís Gustavo Mendes
The works of Brunella and Santos have singled out three special singular holomorphic foliations on projective surfaces having invariant rational nodal curves of positive self-inter…
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…