Skip to Main content Skip to Navigation
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.
Complete list of metadatas

Cited literature [9 references]  Display  Hide  Download

https://hal.archives-ouvertes.fr/hal-00995743
Contributor : Nicolas Dutertre <>
Submitted on : Friday, May 23, 2014 - 5:22:58 PM
Last modification on : Wednesday, April 8, 2020 - 9:16:08 AM
Document(s) archivé(s) le : Monday, August 25, 2014 - 11:36:25 AM

Files

EulerObstructionCurvatures.pdf
Files produced by the author(s)

Identifiers

Citation

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

Share

Metrics

Record views

418

Files downloads

255