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

Piotr Dudziński. "On the Euler characteristic of the link of a weighted homogeneous mapping." Annales Polonici Mathematici 81.1 (2003): 1-6. <http://eudml.org/doc/280389>.

@article{PiotrDudziński2003,
abstract = {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.},
author = {Piotr Dudziński},
journal = {Annales Polonici Mathematici},
keywords = {weighted homogeneous mapping; Euler characteristic; real algebraic manifold},
language = {eng},
number = {1},
pages = {1-6},
title = {On the Euler characteristic of the link of a weighted homogeneous mapping},
url = {http://eudml.org/doc/280389},
volume = {81},
year = {2003},
}

TY - JOUR
AU - Piotr Dudziński
TI - On the Euler characteristic of the link of a weighted homogeneous mapping
JO - Annales Polonici Mathematici
PY - 2003
VL - 81
IS - 1
SP - 1
EP - 6
AB - 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.
LA - eng
KW - weighted homogeneous mapping; Euler characteristic; real algebraic manifold
UR - http://eudml.org/doc/280389
ER -