Local $L^2$ results for $\bar\partial$: The isolated singularities case
  Let $X$ be a pure n-dimensional complex analytic set in $\mathbb{C}^N$ with an isolated singularity at 0. We study the Cauchy-Riemann operator on a deleted neighborhood of the singular point 0 in $X$. 
John Erik Fornaess, Nils Ovrelid and Sophia Vassiliadou