Lê-Greuel type formula for the Euler obstruction and applications

Details Lê-Greuel type formula for the Euler obstruction and applications Lê-Greuel type formula for the Euler obstruction and applications

2011-09-27

arxiv.org/abs/1109.5802v1

Mathematics

Algebraic Geometry

Scientific paper

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.

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