Rogério Mol

activity

20142023

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math.CV2023

On the algebraicity of germs of meromorphic functions

Yohann Genzmer, Rogério Mol

In this article we prove that every germ of analytic meromorphic function at $(C^{2}, 0)$ is equivalent, under the right composition by a germ of biholomorphism, to a germ…

math.CV2021

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 $P^{n}$ , $n \geq 2$ . More specifically, we…

math.CV2014

On the dynamics of foliations in $P^{n}$ tangent to Levi-flat hypersurfaces

Arturo Fernández-Pérez, Rogério Mol, Rudy Rosas

Let $F$ be a codimension one holomorphic foliation in $P^{n}$ , $n \geq 2$ , leaving invariant a real-analytic Levi-flat hypersurface $M$ with regular part $M^{*}$ . T…

On the algebraicity of germs of meromorphic functions

Chow's theorem for real analytic Levi-flat hypersurfaces

On the dynamics of foliations in Pn tangent to Levi-flat hypersurfaces

On the dynamics of foliations in $P^{n}$ tangent to Levi-flat hypersurfaces