# A note on the local hull of holomorphy of a real submanifoldM⊆CN+1with aCRsingularity
**Source**: https://www.maths.tcd.ie/report_series/abstracts/tcdm1113.html
**Parent**: https://www.maths.tcd.ie/research/papers/
**A note on the local hull of holomorphy of a real submanifold
*M*⊆ *CN+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 $\mathbb{C}^{2}$.