3 citations · 5 across the 16 of their papers we have counts for
12 papers · 1 filter
The geography of Chern slopes with prescribed fundamental group
Maycol Falla Luza
Let be the topological fundamental group of a nonsingular complex projective surface. Troncoso and Urzúa proved that the Chern slopes of minimal surfaces of general…
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 Marín +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{C…
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…
Non-algebraizable neighborhoods of curves
Maycol Falla Luza, Frank Loray, Paulo Sad
We provide several families of compact complex curves embedded in smooth complex surfaces such that no neighborhood of the curve can be embedded in an algebraic surface. Different…
The polar family of webs and foliations
M. Falla Luza, R. Rosas Bazan
We define the polar curves and the polar family associated to a projective web and obtain some results about the geometry of the generic element of this family. We also deal with t…
On the number of fibrations transversal to a rational curve in a complex surface
M. Falla Luza, F. Loray
We investigate the existence, and lack of unicity, of a holomorphic fibration by discs transversal to a rational curve in a complex surface.
Flat 3-webs of degree one on the projective plane
A. Beltrán, M. Falla Luza, D. Marín
The aim of this work is to study global -webs with vanishing curvature. We wish to investigate degree foliations for which their dual web is flat. The main ingredient is the…
Extactic divisors for webs and lines on projective surfaces
Maycol Falla Luza, Jorge Vitorio Pereira
Given a web (multi-foliation) and a linear system on a projective surface we construct divisors cutting out the locus where some element of the linear system has abnormal contact w…
Characteristic Numbers and invariant subvarieties for Projective Webs
Maycol Falla Luza, Thiago Fassarella
We define the characteristic numbers of a holomorphic k-distribution of any dimension on and obtain relations between these numbers and the characteristic numbers of a…