53 citations · 60 across the 9 of their papers we have counts for
11 papers · 1 filter
Holomorphic foliations of degree four on the complex projective space
Arturo Fernández-Pérez, Vângellis Sagnori Maia
In this paper, we study holomorphic foliations of degree four on complex projective space , where , with a special focus on obtaining a structural theorem fo…
On Briançon-Skoda theorem for foliations
Arturo Fernández-Pérez, Evelia R. García Barroso, Nancy Saravia-Molina
We generalize Mattei's result relative to the Briançon-Skoda theorem for foliations to the family of foliations of the second type. We use this generalization to establish relation…
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-…
Lehmann-Suwa residues of codimension one holomorphic foliations and applications
Arturo Fernández-Pérez, Jimmy Támara
Let be a singular codimension one holomorphic foliation on a compact complex manifold of dimension at least three such that its singular set has codimension at le…
Brunella-Khanedani-Suwa variational residues for invariant currents
Mauricio Corrêa, Arturo Fernández-Pérez, Marcio G. Soares
In this work we prove a Brunella-Khanedani-Suwa variational type residue theorem for currents invariant by holomorphic foliations. As a consequence, we give conditions for the leav…
On the dynamics of foliations in tangent to Levi-flat hypersurfaces
Arturo Fernández-Pérez, Rogério Mol, Rudy Rosas
Let be a codimension one holomorphic foliation in , , leaving invariant a real-analytic Levi-flat hypersurface with regular part . T…
On Levi-flat hypersurfaces tangent to holomorphic webs
Arturo Fernández-Pérez
We investigate germs of real analytic Levi-flat hypersurfaces tangent to germs of codimension one holomorphic webs. We introduce the notion of first integrals for local webs. In pa…