Local $L^2$ results for $\bar{\partial }$: The isolated singularities case

Abstract

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 $X$.

This paper has been withdrawn by the authors. It has come to our attention that sections 2-4 in our paper overlap with previously published work by Pardon and Stern that appeared in J. Reine Angew. Math. 533, (2001), 55-80. We are withdrawing our paper until we can clarify the precise relationship between their paper and ours