3 papers
math.AG2026
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…
math.AG2025
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{…
math.AG2024
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…