3 papers
math.CV2024
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 Bruce-Roberts Tjurina number for holomorphic 1-forms relative to a pair of complex analytic subvarieties. When the pair consists of i…
math.CV2024
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 of…
math.CV2024
On holomorphic -actions
Víctor León, Bruno Scárdua
In this paper we study holomorphic actions of the complex multiplicative group on complex manifolds around a singular (fixed) point. We prove linearization results for the germ of…