A remark on non-Hausdorff cohomology groups of analytic complements (Q697315)

The authors prove that there exists a normal Stein space \(X\) of dimension 3 with only one singular point and a complex hypersurface \(A \subset X\) (closed complex analytic subset of pure codimension 1) such that the cohomology group \( H^{1} (X \backslash , \mathcal O)\) is not Hausdorff. As a corollary, they show that the open set \( X \backslash A \) does not have an envelope of holomorphy. An open question is also presented.