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arXiv:1109.5802 [math.AG]AbstractReferencesReviewsResources

Lê-Greuel type formula for the Euler obstruction and applications

Nicolas Dutertre, Nivaldo G. Grulha Jr.

Published 2011-09-27Version 1

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.

Journal: Advances in Mathematics 251 (2014) 127-146
Categories: math.AG
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