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An algebraic formula for the index of a vector field on a hypersurface with an isolated singularity. (English) Zbl 0956.32029
The author gives an algebraic definition of the index of a vector field, tangent to a complex germ with isolated singularity. He gives an explicit formula in the hypersurface case. The result coincides with that of an earlier definition [X. Gomez-Mont, J. A. Seade and A. Verjovsky, Math. Ann. 291, No. 4, 737-752 (1991; Zbl 0739.32031)].

32S65 Singularities of holomorphic vector fields and foliations
32S25 Complex surface and hypersurface singularities
14J17 Singularities of surfaces or higher-dimensional varieties