9 citations · 16 across the 7 of their papers we have counts for
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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…
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 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…