Geodesic
The index of holomorphic vector fields on singular varieties I
Complex analytic methods in dynamical systems - IMPA, January 1992, Astérisque, no. 222 (1994), pp. 9-35 
Bonatti, Ch.; Gómez-Mont, X. The index of holomorphic vector fields on singular varieties I, dans Complex analytic methods in dynamical systems - IMPA, January 1992, Astérisque, no. 222 (1994), pp. 9-35. http://geodesic.mathdoc.fr/item/AST_1994__222__9_0/
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     title = {The index of holomorphic vector fields on singular varieties {I}},
     booktitle = {Complex analytic methods in dynamical systems - IMPA, January 1992},
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[DO1] A. Douady, Le problème des modules pour les sous-espaces analytiques compacts d'un espace analytique donne, Ann. Inst. Fourier, 16, 1-95, 1966.

[DO2] A. Douady, Flatness and privilege, Enseign. Math. II Ser, 14, 47-74, 1968.

[G-R] H. Grauert, R. Remmert, Analytische Stellenalgebren, Die Grundlehren, 176, 1971, Springer-Verlag.

[G-S-V] X. Gomez-Mont, J. Seade, A. Verjovsky, The index of a holomorphic flow with an isolated singularity, Math. Ann., 291, 737-751, 1991.

[Mi] Milnor, J., Singular Points of Complex Hypersurfaces, Ann. Math. Stud., 61, 1968.

[Pu] Ch. Pugh, A Generalized Poincaré Index Formula, Topology, 7, 217-226, 1968.

[Ro] H. Rossi, Vector Fields on Analytic Spaces, Ann. Math., 78, 455-467, 1963.

[Se] J. Seade, The index of a vector feld on a complex surface with singularities, In Proc. Lefschetz Centennial Conf. Verjovsky (ed) Contemp. Math., 58, part III, 225-232, 1987.

[Ser] J. P. Serre, Multiplicites, LNM 11. Springer-Verlag.

[Wh] H. Whitney, Complex Analytic Varieties, Addison-Wesley.