5 papers
Neighborhoods of curves with a prescribed number of foliations
Maycol Falla Luza, Rudy Rosas
Given a connected projective curve , , and an integer , we construct an n-dimensional (non compact) complex manifold, obtained…
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…
Formulae for indices of holomorphic foliations via reduction of singularities
Maycol Falla Luza, Percy Fernández Sánchez, David marin
We study numerical invariants associated with the reduction of singularities of holomorphic foliation germs on . Building on our previous work on generalized cur…
Indices of holomorphic foliations and the bifurcation conjecture
Maycol Falla Luza, Arturo Fernández-Pérez, David MarÃn +1
In this paper, we revisit local invariants (Gómez-Mont-Seade-Verjovsky, variation, Camacho-Sad and Baum-Bott indices) associated with singular holomorphic foliations on $(\mathbb{…
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…