On the Euler characteristic of the link of a weighted homogeneous mapping
Tom 81 / 2003
Annales Polonici Mathematici 81 (2003), 1-6
MSC: 14P05, 57R70.
DOI: 10.4064/ap81-1-1
Streszczenie
The paper is concerned with an effective formula for the Euler characteristic of the link of a weighted homogeneous mapping $F:{{\mathbb R}}^{n}\rightarrow {{\mathbb R}}^{k}$ with an isolated singularity. The formula is based on Szafraniec's method for calculating the Euler characteristic of a real algebraic manifold (as the signature of an appropriate bilinear form). It is shown by examples that in the case of a weighted homogeneous mapping it is possible to make the computer calculations of the Euler characteristics much more effective.
