Formules intégrales pour certains invariants locaux des espaces analytiques complexes
type: Item
instance of: scholarly article
title: Formules intégrales pour certains invariants locaux des espaces analytiques complexes
zbMATH Open document ID: 0579.32009
DOI: 10.1007/BF02566346
author: François Loeser
published in: Commentarii Mathematici Helvetici
publication date: 1984-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/139973
review text: 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.
Mathematics Subject Classification ID: 32S05
Mathematics Subject Classification ID: 32C30
Mathematics Subject Classification ID: 32Sxx
zbMATH DE Number: 3927338
zbMATH Keywords: plane sections
zbMATH Keywords: curvature integral
zbMATH Keywords: local Euler obstruction
zbMATH Keywords: isolated surface singularity
reviewed by: Daniel Barlet
MaRDI profile type: Publication
OpenAlex ID: W1965394362
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description: scientific article; zbMATH DE number 3927338