4 papers
Homogeneous Convex Foliations of degree 6
Carla Pracias, Maycol Falla Luza
In this paper, we study homogeneous convex foliations on the complex projective plane . A foliation is called convex if all of its leaves, except straight lines, have…
Distributions and Legendrian foliations in dimension 3
Maycol Falla Luza, Rudy Rosas
We study the field of rational first integrals of distributions. We show that for a distribution on 3 dimensional manifolds there exists a tangent vector field with the same field…
Automorphisms of projective structures
M. Falla Luza, F. Loray
We study the problem of classifying local projective structures in dimension two having non trivial Lie symmetries. In particular we obtain a classification of flat projective stru…
Neighborhoods of rational curves without functions
Maycol Falla Luza, Frank Loray
We prove the existence of (non compact) complex surfaces with a smooth rational curve embedded such that there does not exist any formal singular foliation along the curve. In part…