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 introduce and study the discriminant of a system of polynomial equations with
indeterminate coefficients, generalizing a number of known special cases, such as the …

The study of the topology of polynomial maps originates from classical questions in affine
geometry, such as the Jacobian Conjecture, as well as from works of Whitney, Thom, and …

In the last 35 years or so a lot of effort was devoted to and great success achieved in the
study of the singularities of an analytic function germ f:(ℂ n+ 1, 0)'(ℂ, 0). Indeed, when f …

A polynomial function defines a locally trivial fibre bundle over the complement to a finite set
in the target C. Objects connected with this fibration (say, monodromy operators and, in …

This text surveys cohomological properties of pairs (U, f) consisting of a smooth complex
quasi-projective variety U together with a regular function on it. On the one hand, one tries to …

We are interested in a global version of Lê-Ramanujam µ-constant theorem from the Newton
polyhedron point of view. More precisely, we prove a stability theorem which says that the …

In the next section we describe geometrically what is meant by a generic hyperplane is
these statements, see Theorem 3'. We note here just that the Zariski open set of hyperplanes …

In this work we study the topologies of the fibres of some families of complex polynomial
functions with isolated critical points. We consider polynomials with some transversality …

Critical Values of Singularities at Infinity of Complex Polynomials Page 1 Vietnam Journal of
Mathematics 36:1(2008) 1–38 Vietnam Journal of MATHEMATICS © VAST 2008 Survey Critical …