9 citations · 16 across the 7 of their papers we have counts for
7 papers
Local normal forms of singular Levi-flat hypersurfaces
Arturo Fernández-Pérez, Gustavo Marra
We study normal forms of germs of singular real-analytic Levi-flat hypersurfaces. We prove the existence of rigid normal forms for singular Levi-flat hypersurfaces which are define…
Holomorphic foliations tangent to Levi-flat subsets
Jane Bretas, Arturo Fernández-Pérez, Rogério Mol
We study Segre varieties associated to Levi-flat subsets in complex manifolds and apply them to establish local and global results on the integration of tangent holomorphic foliati…
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…
On non-Kupka points of codimension one foliations on
O. Calvo-Andrade, M. Corrêa, A. Fernández-Pérez
We study the singular set of a codimension one holomorphic foliations on . We find a local normal form of a codimension two component of the singular set that is not…
Classification of holomorphic foliations on Hopf manifolds
Maurício Corrêa, Arturo Fernández-Pérez, Antonio M. Ferreira
We classify nonsingular holomorphic foliations of dimension and codimension one on certain Hopf manifolds. More general, we prove that all nonsingular codimension one distributions…
On Normal Forms for Levi-flat hypersurfaces with an Isolated Line Singularity
Arturo Fernández-Pérez
We prove the existence of normal forms for some local real-analytic Levi-flat hypersurfaces with an isolated line singularity. We also give sufficient conditions for that a Levi-fl…
On Normal Forms of Singular Levi-Flat Real Analytic Hypersurfaces
Arturo Fernández-Pérez
Let be such that defines a germ of real analytic Levi-flat at , , where is a homogeneous polynomial…