On calculation of Dynkin diagrams of some complete intersections (Q1356258)

For isolated complete intersections the author considers the homology of the Milnor fibre and the definition of a distinguished set of vanishing cycles. The Dynkin diagram codes the intersections of that set of vanishing cycles. Several results were known before by Giusti and Ebeling (using Gabrielov's method). In the current paper the author uses the method of real Morsifications. It is applicable to two variable cases (and their stabilizations). The well known hypersurface case generalizes to this case, but only in cases where real Morsifications can be constructed. The method is applied to singularities of type \(Z_9\) and \(Z_{10}\).