Geodesic
Formal modifications. Existence theorems for modifications of complex manifolds
Izvestiya. Mathematics , Tome 7 (1973) no. 4, pp. 847-881

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. 
@article{IM2_1973_7_4_a5,
     author = {V. A. Krasnov},
     title = {Formal modifications. {Existence} theorems for modifications of complex manifolds},
     journal = {Izvestiya. Mathematics },
     pages = {847--881},
     publisher = {mathdoc},
     volume = {7},
     number = {4},
     year = {1973},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1973_7_4_a5/}
}
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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/