In the theory of complex isolated complete intersection singularities (ICIS) a central role is
played by the Milnorfibration. Briefly, if (A^ O)£(Cn+*, 0) is the germ of an^-dimensional ICIS …

IN THIS work we consider the following problem: given a l-parameter family of map germs,
find analytic invariants whose constancy in the family implies the family is topologically …

Let f: X-+ Y be a finite analytic map. The purpose of this paper is to find a good choice of
analytic structure for the set Mk (f) of points in Y whose preimage consists of k or more …

In the first volume of this survey (Arnol'd et al.(1988), hereafter cited as" EMS 6") we
acquainted the reader with the basic concepts and methods of the theory of singularities of …

In this paper we discuss the topology of the image of a stable perturbation of a finitely
determined map-germ fo:(~ n. 0)....(~ n+ 1.0). and its relation to the number of parameters …

Suppose that f: ℂ n, 0→ ℂ p, 0 is finitely A-determined with n≧ p. We define a “Milnor fiber”
for the discriminant of f; it is the discriminant of a “stabilization” of f. We prove that this …

In [M02) and [MM) Mond and Marar obtain a formula relating the~-codimension of map
germs fo:(C2, O __ (C3, O to the Euler characteristic of the image of a stable perturbation ft of …

Singularities of maps and characteristic classes Page 1 Advanced Studies in Pure Mathematics
68, 2016 School on Real and Complex Singularities in Sao Carlos, 2012 pp. 191–265 …

In this paper we investigate the geometry of simple germs of co-rank 1 maps from ℝ3 to ℝ3.
Those of co-dimension 1 have already been dealt with by several authors. In [2], VI Arnold …

We characterize finite determinacy of map germs f:(C2, 0)→(C3, 0) in terms of the Milnor
number μ (D (f)) of the double point curve D (f) in (C2, 0) and we provide an explicit …