3 papers
math.AG2026
Homogeneous pre-foliations of co-degree one and degree four on the projective plane
Carla Pracias, Maycol Falla Luza
We classify, up to projective automorphism, all homogeneous pre-foliations of co-degree and degree on the complex projective plane $\Ptwo$ whose Legendre transform defines…
math.AG2025
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…
math.AG2024
Webs Generated by Products of convex and homogeneous Foliations on
Carla Pracias, Maycol Falla Luza
This paper investigates flat webs on the projective plane. We present two methods for constructing such webs: the first involves taking the product of finitely many convex reduced…