Euler obstruction and Lipschitz-Killing curvatures
Algebraic Geometry
2014-05-26 v1 Differential Geometry
Abstract
Applying a local Gauss-Bonnet formula for closed subanalytic sets to the complex analytic case, we obtain characterizations of the Euler obstruction of a complex analytic germ in terms of the Lipschitz-Killing curvatures and the Chern forms of its regular part. We also prove analogous results for the global Euler obstruction. As a corollary, we give a positive answer to a question of Fu on the Euler obstruction and the Gauss-Bonnet measure.
Keywords
Cite
@article{arxiv.1405.6152,
title = {Euler obstruction and Lipschitz-Killing curvatures},
author = {Nicolas Dutertre},
journal= {arXiv preprint arXiv:1405.6152},
year = {2014}
}