An algebraic formula for the index of a vector field on an isolated complete intersection singularity

Details An algebraic formula for the index of a vector field on an isolated complete intersection singularity An algebraic formula for the index of a vector field on an isolated complete intersection singularity

2006-01-26

arxiv.org/abs/math/0601640v3

Annales de l'Institut Fourier, Vol. 58 no. 5 (2008), p. 1761-1783

Mathematics

Algebraic Geometry

18 pages; added an example which is not quasi homogeneous. A script calculating this example can be found at http://www.iag.

Scientific paper

Let (V,0) be a germ of a complete intersection variety in \CC^{n+k}, n>0, having an isolated singularity at 0 and X be the germ of a holomorphic vector field on \CC^{n+k} tangent to V and having on V an isolated zero at 0. We show that in this case the homological index and the GSV-index coincide. In the case when the zero of X is also isolated in the ambient space \CC^{n+k} we give a formula for the homological index in terms of local linear algebra.

Affiliated with

Also associated with

No associations

Rating

An algebraic formula for the index of a vector field on an isolated complete intersection singularity 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 An algebraic formula for the index of a vector field on an isolated complete intersection singularity, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and An algebraic formula for the index of a vector field on an isolated complete intersection singularity will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-171251