Abstract
In this paper we study germs of holomorphic functions f: ( C n+1,0)→ C with the following two properties: (i) the critical set Σ of f is a 1-dimensional isolated complete intersection singularity (icis); (ii) the transversal singularity of f in points of Σ−{0} is of type A 1. We first compute the homology of the Milnor fibre F of f in terms of numbers of special points in certain deformations. Next we show that the homotopy type of the Milnor fibre F of f is a bouquet of spheres. There are two cases: (a) general case S n v⋯v S n (b) special case S n-1 v s n v⋯v S n .
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