2 citations · 2 across the 4 of their papers we have counts for
5 papers
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-…
Dicritical nilpotent holomorphic foliations
Percy Fernández Sánchez, Jorge Mozo Fernández, Hernán Neciosup
We study in this paper several properties concerning singularities of foliations in that are pull-back of dicritical foliations in $(\mathbb{C}^2,\mathb…
Existence of dicritical singularities of Levi-flat hypersurfaces and holomorphic foliations
Andrés Beltrán, Arturo Fernández-Pérez, Hernán Neciosup
We study holomorphic foliations tangent to singular real-analytic Levi-flat hypersurfaces in compact complex manifolds of complex dimension two. We give some hypotheses to guarante…
Analytic classification of a class of cuspidal foliations in
Percy Fernández-Sánchez, Jorge Mozo-Fernández, Hernán Neciosup
In this article we study the analytic classification of certain types of quasi-homogeneous cuspidal holomorphic foliations in $(\CC^3,{\bf 0})$ via the essential holonomy defined o…
On codimension one foliations with prescribed cuspidal separatrix
Percy Fernández-Sánchez, Jorge Mozo-Fernández, Hernán Neciosup
In this paper, we will construct a pre-normal form for germs of codimension one holomorphic foliation having a particular type of separatrix, of cuspidal type. We will also give a…