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 …

Abstract The germs of maps\((\mathbbm {k}^ n\!, o){\mathop {\rightarrow}\limits^{\
scriptscriptstyle f}}(\mathbbm {k}^ p\!, o)\) are traditionally studied up to the right (\(\mathscr …

The study of equivariant bifurcation problems via singularity theory (Golubitsky and
Schaeffer [8], Golubitsky, Stewart and Schaeffer [9]) has been mainly concerned with models …

We investigate when the freeness of a divisor (V, 0) is inherited by the discriminants for the
versal deformations of nonlinear sections of V. We introduce Morse-type singularities for …

We study germs of hypersurfaces\((Y, 0)\subset (\mathbb {C}^{n+ 1}, 0)\) that can be
described as the image of\({\mathscr {A}}\)-finite mappings\(f:(X, S)\rightarrow (\mathbb …

The classical Artin approximation (AP) reads: any formal solution of a system of (analytic,
resp., algebraic) equations of implicit function type is approximated by “ordinary” solutions …

By a series of discoveries during the past thirty years, a distinguished list of researchers
have provided us with a marvelous vista of singularity theory as it applies to isolated …

We introduce a variant of the usual K\"{a} hler forms on singular free divisors, and show that
it enjoys the same depth properties as K\"{a} hler forms on isolated hypersurface …

Introduction Page 1 THE PATH FORMULATION OF BIFURCATION THEORY JAMES MONTALDI
Institute Non-Lineaire de Nice CNRS Unviversite de Nice Sophia-Antipolis, FRANCE …

Augmentation is a process which produces a new singular map from combining a singular
map and a hypersurface singularity. This notion has important applications to the …