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

Oliver Klehn

math.AGarXiv:math/0204221

Abstract

We give a generalization of an algebraic formula of Gomez-Mont for the index of a vector field with isolated zero in (Cn,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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