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 …

We construct all, by augmentation and concatenation operations, starting from mono-germs
(| T|= 1) and one 0-dimensional bi-germ. As an application, we prove general statements for …

Vanishing Cycles and Special Fibres Page 1 Vanishing Cycles and Special Fibres Dirk
Siersma Abstract We show that the homotopy type of certain special fibres in a perturbation of …

We study germs of analytic maps f:(X, S)→(C p, 0), when X is an icis of dimension n< p. We
define an image Milnor number, generalizing Mond's definition, μ I (X, f) and give results …

The Vanishing Topology of Non Isolated Singularities Page 1 The Vanishing Topology of Non
Isolated Singularities Dirk Siersma Mathematisch Instit'Uut, Universiteit Utrecht (siersma~math.uu.nl) …

The classification of germs of maps plays an important role in singularity theory. Not only do
we obtain specific examples to which existing theory may be applied, but new phenomena …

Projecting a knot onto a plane–or, equivalently, looking at it through one eye–one sees a
more or less complicated plane curve with a number of crossings ('nodes'); viewing it from …

We develop a Thom–Mather theory of frontals analogous to Ishikawa's theory of
deformations of Legendrian singularities but at the frontal level, avoiding the use of the …

A deformation theory has been introduced by Siersma [Si 11 for the simplest class of non-
isolated singularities X: hypersurfaces with a smooth one dimensional singular locus~ and …

Consider a hypersurface genn Xc «: n+ l, defined by an equation f= 0, f E 0:={:{xO, x1,..., xn}
and let~ be a subscheme of the singular locus Sing (Xl (with structure ring O/(fJf), If the …