Geodesic
On the Euler characteristic of the link of a weighted homogeneous mapping
Piotr Dudziński1
1Institute of Mathematics University of Gdańsk Wita Stwosza 57 80-925 Gdańsk, Poland
Annales Polonici Mathematici, Tome 81 (2003) no. 1, pp. 1-6
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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.
DOI : 10.4064/ap81-1-1
Keywords: paper concerned effective formula euler characteristic link weighted homogeneous mapping mathbb rightarrow mathbb isolated singularity formula based szafraniecs method calculating euler characteristic real algebraic manifold signature appropriate bilinear form shown examples weighted homogeneous mapping possible make computer calculations euler characteristics much effective

Piotr Dudziński  1

1 Institute of Mathematics University of Gdańsk Wita Stwosza 57 80-925 Gdańsk, Poland 
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Piotr Dudziński. On the Euler characteristic of the link
 of a weighted homogeneous mapping. Annales Polonici Mathematici, Tome 81 (2003) no. 1, pp. 1-6. doi: 10.4064/ap81-1-1

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