Residual currents and fundamental class
type: Item
instance of: scholarly article
title: Residual currents and fundamental class
zbMATH Open document ID: 0851.32013
author: Jean-Pierre Demailly
author: Mikael Passare
published in: Bulletin des Sciences Mathématiques
publication date: 1995-11-05T00:00:00Z
review text: Let \(Y\) be the complex subspace of a complex manifold \(X\) defined by a coherent ideal \(I\), which is a locally complete intersection. The authors introduce the notion of the cohomology with supports in the infinitesimal neighbourhood of first order of \(Y\) and then, they prove that the residual current \(R_Y\) is intrinsically identified to a canonical element of the infinitesimal cohomology of first order with supports in \(Y\) and with values in the sheaf of sections of the determinant of the determinant of the conormal bundle to \(Y\).
Mathematics Subject Classification ID: 32C30
Mathematics Subject Classification ID: 32C36
Mathematics Subject Classification ID: 58A25
Mathematics Subject Classification ID: 32C15
zbMATH DE Number: 812671
zbMATH Keywords: current
zbMATH Keywords: analytic spaces
zbMATH Keywords: cohomology with supports
reviewed by: Vasile Brînzănescu
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 812671