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Journal articles

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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Contributor : Nicolas Dutertre Connect in order to contact the contributor
Submitted on : Friday, May 23, 2014 - 5:22:58 PM
Last modification on : Tuesday, June 28, 2022 - 10:04:35 AM
Long-term archiving on: : Monday, August 25, 2014 - 11:36:25 AM


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



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