Radial index and Euler obstruction of a 1-form on a singular variety
Algebraic Geometry
2007-05-23 v2
Abstract
A notion of the radial index of an isolated singular point of a 1-form on a singular (real or complex) variety is discussed. For the differential of a function it is related to the Euler characteristic of the Milnor fibre of the function. A connection between the radial index and the local Euler obstruction of a 1-form is described. This gives an expression for the local Euler obstruction of the differential of a function in terms of Euler characteristics of some Milnor fibres.
Keywords
Cite
@article{arxiv.math/0402388,
title = {Radial index and Euler obstruction of a 1-form on a singular variety},
author = {W. Ebeling and S. M. Gusein-Zade},
journal= {arXiv preprint arXiv:math/0402388},
year = {2007}
}