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Journal Articles Israel Journal of Mathematics Year : 2016

Euler obstruction and Lipschitz-Killing curvatures

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.
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Dates and versions

hal-00995743 , version 1 (23-05-2014)

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Nicolas Dutertre. Euler obstruction and Lipschitz-Killing curvatures. Israel Journal of Mathematics, 2016, 213, pp.109-137. ⟨10.1007/s11856-016-1322-9⟩. ⟨hal-00995743⟩
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