From the very beginning, algebraic topology has developed under the influence of the
problems posed by trying to understand the topological properties of complex algebraic …

Milnor's fibration theorem is about the geometry and topology of real and complex analytic
maps near their critical points, a ubiquitous theme in mathematics. As such, after 50 years …

We show that every family of isolated hypersurface singularities with constant Milnor number
has constant multiplicity. To achieve this, we endow the A'Campo model of “radius zero” …

The fibration theorem for analytic maps near a critical point published by John Milnor in
1968 is a cornerstone in singularity theory. It has opened several research fields and given …

0. Introduction. In this paper, we provide a general framework for associating numerical data
to an arbitrary, bounded, constructible complex of sheaves on a complex analytic space. The …

In the study of algebraic/analytic varieties a key aspect is the description of the invariants of
their singularities. This book targets the challenging non-isolated case. Let f be a complex …

We give examples of families of hypersurface singularities with constant Lê numbers,
constant Milnor fibration and non-constant topological type, answering negatively a question …

Segre classes encode essential intersection-theoretic information concerning vector
bundles and embeddings of schemes. In this paper we survey a range of applications of …

We survey how the Milnor number of complex map-germs with an isolated critical point
relates to various indices of vector fields on singular varieties, and the way how this number …

We look at topological equisingularity of a holomorphic family of reduced mapping germs
over a contractible base T having non-isolated singularities, by means of their …