Über zusammenblasbare Deformationen streng pseudokonvexer Räume. (About contracted deformations of strongly pseudoconvex spaces) (Q1070400)

Let (Y,0) be the germ of an analytical variety with isolated singularity and \(f: \tilde Y\to Y\) a resolution with exceptional divisor E. It is shown that there exists a semi-universal family of deformations \(\tilde {\mathcal Y}\to S\) of \((\tilde Y,E)\) which can be contracted to a deformation of the singularity (Y,0). Such families also exist if one imposes the condition that \(\tilde {\mathcal Y}\to S\) induces a deformation (resp. trivial deformation) of E. The proofs of these results are based on general work of J. Bingener and the author on deformation theory in the complex-analytic category.