Singularities with critical locus a 1-dimensional complete intersection and transversal type A1 (original) (raw)

In this paper we study germs of holomorphic functions f: (C "+I, 0) + @ with the following two properties: (i) the critical set P off is a l-dimensional isolated complete intersection singularity (icis); (ii) the transversal singularity off in points of P-{0} is of type A, We first compute the homology of the Milnor fibre F off in terms of numbers of special points in certain deformations. Next we show that the homotopy type of the Milnor libre F off is a bouquet of spheres. There are two cases: (a) general case S" v. v S",