The paper is concerned with an effective formula for the Euler characteristic of the link of a weighted homogeneous mapping 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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ap81-1-1,
author = {Piotr Dudzi\'nski},
title = {On the Euler characteristic of the link of a weighted homogeneous mapping},
journal = {Annales Polonici Mathematici},
volume = {81},
year = {2003},
pages = {1-6},
zbl = {1017.14022},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap81-1-1}
}
Piotr Dudziński. On the Euler characteristic of the link of a weighted homogeneous mapping. Annales Polonici Mathematici, Tome 81 (2003) pp. 1-6. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap81-1-1/