On the Euler characteristic of the link of a weighted homogeneous mapping

• Autorzy: Piotr Dudziński
• Języki publikacji: EN

Abstrakty

EN

The paper is concerned with an effective formula for the Euler characteristic of the link of a weighted homogeneous mapping $F:ℝⁿ → ℝ^k$ 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.

Kategorie tematyczne

• 14P05: Real algebraic sets
• 57R70: Critical points and critical submanifolds

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2003
• Tom: 81
• Numer: 1
• Strony: 1-6

Daty

wydano

2003

Twórcy

autor

Piotr Dudziński

• Institute of Mathematics, University of Gdańsk, Wita Stwosza 57, 80-925 Gdańsk, Poland

Identyfikatory

DOI

10.4064/ap81-1-1