L\^e-Greuel type formula for the Euler obstruction and applications
Algebraic Geometry
2013-11-11 v1
Abstract
The Euler obstruction of a function can be viewed as a generalization of the Milnor number for functions defined on singular spaces. In this work, using the Euler obstruction of a function, we give a version of the L\^e-Greuel formula for two germs of analytic functions with isolated singularity at the origin on a singular space. Using this formula and results of Loeser, we also present an integral formula for the Euler obstruction of a function, generalizing a formula of Kennedy.
Keywords
Cite
@article{arxiv.1109.5802,
title = {L\^e-Greuel type formula for the Euler obstruction and applications},
author = {Nicolas Dutertre and Nivaldo G. Grulha},
journal= {arXiv preprint arXiv:1109.5802},
year = {2013}
}