Geodesic
On the equivalence of imbeddings of complex spaces that can be blown down
Izvestiya. Mathematics , Tome 8 (1974) no. 5, pp. 1009-1032

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The theorem of Grauert–Hironaka–Rossi on the equivalence of imbeddings of complex spaces is generalized; in fact the corresponding theorem is proved for complex spaces that can be blown down to spaces of any dimension and not just to a point. 
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     author = {V. A. Krasnov},
     title = {On the equivalence of imbeddings of complex spaces that can be blown down},
     journal = {Izvestiya. Mathematics },
     pages = {1009--1032},
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     number = {5},
     year = {1974},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1974_8_5_a3/}
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V. A. Krasnov. On the equivalence of imbeddings of complex spaces that can be blown down. Izvestiya. Mathematics , Tome 8 (1974) no. 5, pp. 1009-1032. http://geodesic.mathdoc.fr/item/IM2_1974_8_5_a3/