Geodesic
Formal modifications. Existence theorems for modifications of complex manifolds
Izvestiya. Mathematics, Tome 7 (1973) no. 4, pp. 847-881 
V. A. Krasnov. Formal modifications. Existence theorems for modifications of complex manifolds. Izvestiya. Mathematics, Tome 7 (1973) no. 4, pp. 847-881. http://geodesic.mathdoc.fr/item/IM2_1973_7_4_a5/
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     author = {V. A. Krasnov},
     title = {Formal modifications. {Existence} theorems for modifications of complex manifolds},
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     volume = {7},
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     url = {http://geodesic.mathdoc.fr/item/IM2_1973_7_4_a5/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

For the existence of a nonsingular contraction (dilatation) of an analytic set on an $n$-dimensional complex manifold it is proved to be necessary and sufficient that there exist a formal nonsingular contraction (dilatation) of the analytic set.

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