Indices of Vector Fields on Singular Varieties: An Overview

Details Indices of Vector Fields on Singular Varieties: An Overview Indices of Vector Fields on Singular Varieties: An Overview

2006-03-24

arxiv.org/abs/math/0603582v1

Mathematics

Algebraic Geometry

Scientific paper

Indices 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 Poincar\'e-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.

Affiliated with

Also associated with

No associations

Rating

Indices of Vector Fields on Singular Varieties: An Overview does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Indices of Vector Fields on Singular Varieties: An Overview, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Indices of Vector Fields on Singular Varieties: An Overview will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-91119