3 citations · 5 across the 16 of their papers we have counts for
4 papers · 1 filter
Distributions, first integrals and Legendrian foliations
Maycol Falla Luza, Rudy Rosas
We study germs of holomorphic distributions with "separated variables'. In codimension one, a well know example of this kind of distribution is given by the canonical contact struc…
Positive neighborhoods of curves
M. Falla Luza, P. Sad
In this work we study neighborhoods of curves in surfaces with positive self-intersection that can be embeeded as a germ of neighborhood of a curve on the projective plane.
Positive neighborhoods of rational curves
M. Falla Luza, P. Sad
We study neighborhoods of rational curves in surfaces with self-intersection number 1 that can be linearised.
On the density of Second Order Differential Equations without algebraic solutions on $\mathbb{P}}^{2}$
Maycol Falla Luza
We prove that a generic second order differential equation in the projective plane has no algebraic solutions when the bidegree is big enough. We also proof an analogous result for…