On the index of a vector field tangent to a hypersurface with non-isolated zero in the embedding space

Details On the index of a vector field tangent to a hypersurface with non-isolated zero in the embedding space On the index of a vector field tangent to a hypersurface with non-isolated zero in the embedding space

2002-04-17

arxiv.org/abs/math/0204221v2

Mathematics

Algebraic Geometry

12 pages, minor corrections, accepted for publication in Math. Nachr

Scientific paper

We give a generalization of an algebraic formula of Gomez-Mont for the index
of a vector field with isolated zero in (C^n,0) and tangent to an isolated
hypersurface singularity. We only assume that the vector field has an isolated
zero on the singularity.

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