4 papers · 1 filter
On the k-th Milnor and k-th Tjurina Numbers of a Foliation
Marcela Ribeiro, Arturo Fernández-Pérez
In this paper, we introduce the notions of the -th Milnor number and the -th Tjurina number for a germ of holomorphic foliation on the complex plane with an isolated singular…
A Morse-Bott normal form for real analytic Levi-flat hypersurfaces
Arturo Fernández-Pérez, Gustavo Marra
We prove the existence of a normal form for a real-analytic Levi-flat hypersurface defined by the vanishing of the real part of a holomorphic function with a Morse-Bott singularity…
The Bruce-Roberts Tjurina number of holomorphic 1-forms along complex analytic varieties
Pedro Barbosa, Arturo Fernández-Pérez, Víctor León
We introduce the notion of the \textit{Bruce-Roberts Tjurina number} for holomorphic 1-forms with respect to a pair of complex analytic subvarieties. We characterize its fi…
The Bruce-Roberts number of holomorphic 1-forms along complex analytic varieties
Pedro Barbosa, Arturo Fernández-Pérez, Víctor León
We introduce the notion of the \textit{Bruce--Roberts number} for holomorphic 1-forms relative to complex analytic varieties. Our main result shows that the Bruce--Roberts number o…