2 citations · 2 across the 4 of their papers we have counts for
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Foliations on with only one singular point
Percy Fernández, Liliana Puchuri, Rudy Rosas
In this paper we study holomorphic foliations on with only one singular point. If the singularity has algebraic multiplicity one, we prove that the foliation has no…
On singular real analytic Levi-flat foliations
Arturo Fernández-Pérez, Rogério Mol, Rudy Rosas
A singular real analytic foliation of real codimension one on an -dimensional complex manifold is Levi-flat if each of its leaves is foliated by immersed compl…
Characteristic directions of two-dimensional biholomorphisms
Lorena López-Hernanz, Rudy Rosas
We prove that for each characteristic direction of a tangent to the identity diffeomorphism of order in there exist either an analytic curve of fixed poi…
Nodal separators of holomorphic foliations
Rudy Rosas
We study a special kind of local invariant sets of singular holomorphic foliations called nodal separators. We define notions of equisingularity and topological equivalence for nod…
Infinitesimal Poincaré-Bendixson Problem in dimension three
C. Alonso-González, F. Cano, R. Rosas
We describe the sets of accumulation of secants for orbits of real analytic vector fields in dimension three having the origin as only ω-limit point. It is a kind of infinitesimal…