Computation of Milnor numbers and critical values at infinity
Algebraic Geometry
2007-05-23 v1 Geometric Topology
Abstract
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.
Cite
@article{arxiv.math/0309322,
title = {Computation of Milnor numbers and critical values at infinity},
author = {Arnaud Bodin},
journal= {arXiv preprint arXiv:math/0309322},
year = {2007}
}
Comments
9 pages.To download the libraries for Singular see http://www-gat.univ-lille1.fr/~bodin/