Computation of Milnor numbers and critical values at infinity
| dc.creator | Bodin, Arnaud | |
| dc.date | 2003-09-19 | |
| dc.date.accessioned | 2026-07-07T05:01:18Z | |
| dc.date.available | 2026-07-07T05:01:18Z | |
| dc.description | 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. | |
| dc.description | 9 pages.To download the libraries for Singular see http://www-gat.univ-lille1.fr/~bodin/ | |
| dc.identifier | https://arxiv.org/abs/math/0309322 | |
| dc.identifier | http://arxiv.org/abs/math/0309322 | |
| dc.identifier | Journal of Symbolic Computation (2004, vol. 38, 1417-1427) | |
| dc.identifier | doi:10.1016/j.jsc.2004.04.003 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/68621 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Geometric Topology | |
| dc.title | Computation of Milnor numbers and critical values at infinity | |
| dc.type | text |