53 citations · 60 across the 9 of their papers we have counts for
5 papers · 2 filters
Chow's theorem for real analytic Levi-flat hypersurfaces
Arturo Fernández-Pérez, Rogério Mol, Rudy Rosas
In this article we provide a version of Chow's theorem for real analytic Levi-flat hypersurfaces in the complex projective space , . More specifically, we…
On real-analytic Levi-flat hypersurfaces and holomorphic webs
Ayane Adelina Da Silva, Arturo Fernández-Pérez
We investigate holomorphic webs tangent to real-analytic Levi-flat hypersurfaces on compact complex surfaces. Under certain conditions, we prove that a holomorphic web tangent to a…
On Milnor and Tjurina numbers of foliations
Arturo Fernández-Pérez, Evelia R. García Barroso, Nancy Saravia-Molina
We study the relationship between the Milnor and Tjurina numbers of a singular foliation , in the complex plane, with respect to a balanced divisor of separatrices $\m…
On the Milnor number of non-isolated singularities of holomorphic foliations and its topological invariance
Arturo Fernández-Pérez, Gilcione Nonato Costa, Rudy Rosas
We define the Milnor number -- as the intersection number of two holomorphic sections -- of a one-dimensional holomorphic foliation with respect to a compact connecte…
Pull-back of singular Levi-flat hypersurfaces
Andrés Beltrán, Arturo Fernández-Pérez, Hernán Neciosup
We study singular real analytic Levi-flat subsets invariant by singular holomorphic foliations in complex projective spaces. We give sufficient conditions for a real analytic Levi-…