Indices of Vector Fields on Singular Varieties: An Overview

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dc.creatorSeade, Jose
dc.date2006-03-24
dc.date.accessioned2026-07-07T07:07:12Z
dc.date.available2026-07-07T07:07:12Z
dc.descriptionIndices of vector fields on (complex analytic) singular varieties have been considered by various authors from several different viewpoints. All these indices coincide with the classical local index of Poincaré-Hopf when the ambient variety is a smooth manifold. One has the Schwartz index, the local Euler obstruction, the GSV-index, the virtual index and the homological index (and probably other indices too). In this article we give a brief overview of all these indices and the relations amongst them. We also indicate their relations with the various generalisations to complex analytic singular varieties of the Chern classes of complex manifolds.
dc.identifierhttps://arxiv.org/abs/math/0603582
dc.identifierhttp://arxiv.org/abs/math/0603582
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/110306
dc.subjectAlgebraic Geometry
dc.subjectAlgebraic Topology
dc.subject14C25, 32C25, 57R20
dc.titleIndices of Vector Fields on Singular Varieties: An Overview
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