$L^2$-theory for the $\bar{\partial}$-operator on complex spaces with   isolated singularities
  We present a refined, improved $L^2$-theory for the $\bar{\partial}$-operator for $(0,q)$ and $(n,q)$-forms on Hermitian complex spaces of pure dimension $n$ with isolated singularities. The general philosophy is to use a resolution of singularities to obtain a regular model of the $L^2$-cohomology. 
Jean Ruppenthal
math.CV