3 papers
math.AG2026
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…
math.AG2026
Birational Geometry of Special Quotient Foliations and Chazy's Equations
Adolfo Guillot, LuÃs 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…
math.CV2026
Uniformizable foliated projective structures along singular foliations
Bertrand Deroin, Adolfo Guillot
We consider holomorphic foliations by curves on compact complex manifolds, for which we investigate the existence of projective structures along the leaves varying holomorphically…