Lê-Greuel type formula for the Euler obstruction and applications
نویسنده
چکیده
The Euler obstruction of a function f 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 Lê-Greuel formula for germs f : (X, 0) → (C, 0) and g : (X, 0) → (C, 0) of analytic functions with isolated singularity at the origin. 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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