3 research outputs found
Computation of Milnor numbers and critical values at infinity
We describe how to compute topological objects associated to a polynomial map
of several complex variables with isolated singularities. These objects are:
the affine critical values, the affine Milnor numbers for all irregular fibers,
the critical values at infinity, and the Milnor numbers at infinity for all
irregular fibers. Then for a family of polynomials we detect parameters where
the topology of the polynomials can change. Implementation and examples are
given with the computer algebra system Singular.Comment: 9 pages.To download the libraries for Singular see
http://www-gat.univ-lille1.fr/~bodin