Geodesic
Holomorphic inequivalence of some classes of domains in~$\mathbf C^n$
Sbornik. Mathematics, Tome 39 (1981) no. 1, pp. 61-86

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This article proves the biholomorphic inequivalence of some classes of domains in $\mathbf C^n$: in particular, bounded pseudoconvex domains with smooth and piecewise smooth (but not smooth) boundaries. It is shown that a proper holomorphic mapping of one strictly pseudoconvex domain onto another is locally biholomorphic. Bibliography: 20 titles. 
@article{SM_1981_39_1_a2,
     author = {S. I. Pinchuk},
     title = {Holomorphic inequivalence of some classes of domains in~$\mathbf C^n$},
     journal = {Sbornik. Mathematics},
     pages = {61--86},
     publisher = {mathdoc},
     volume = {39},
     number = {1},
     year = {1981},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1981_39_1_a2/}
}
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S. I. Pinchuk. Holomorphic inequivalence of some classes of domains in~$\mathbf C^n$. Sbornik. Mathematics, Tome 39 (1981) no. 1, pp. 61-86. http://geodesic.mathdoc.fr/item/SM_1981_39_1_a2/