A note on the local hull of holomorphy of a real submanifold M⊆ CN+1 with a CR singularity

A note on the local hull of holomorphy of a real submanifold M⊆ C^N+1 with a CR singularity

In this paper we study the local hull of holomorphy $\widetilde{M}$ of a real submanifold $M\subset\mathbb{C}^{N+1}$ of codimension $2$ near a CR singularity. This provides an extension to the higher dimensional case to Kenig-Webster work in $\mathbb{C}^{2}$.