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Let X be a pure n-dimensional (n>1) complex analytic set in C^N with anisolated singularity at 0. In this paper we express theL2-(0,q)-d-bar-cohomology groups for all q with 0<q<n+1, of a sufficientlysmall deleted neighborhood of the singular point, in terms of resolution data.We also obtain identifications of the L2-(0,q)-d-bar-cohomology groups of thesmooth points of X in terms of resolution data, when X is either compact or anopen relatively compact complex analytic subset of a reduced complex space withfinitely many isolated singularities.

L2 d-bar cohomology groups of some singular complex spaces