Formules intégrales pour certains invariants locaux des espaces analytiques complexes (Q1067045)

In the first part of this article, the author generalizes the result of Langevin-Lê on the (double) limit of the curvature integral near a singular point of an equidimensional analytic set. The second part gives the local Euler obstruction for a linear generic section of an equidimensional analytic set as a limit of a curvature integral. This extends the classical formula for the ''Lelong number'' and also a result by Varchenko on isolated surface singularity in \({\mathbb{C}}^ 3.\) In the last part, the author proves an exact formula for the local Euler obstruction and shows that this leads to a direct proof of the Gonzalès-Verdier formula.