no. 2
Regular holomorphic images of balls
Annales de l'Institut Fourier, Tome 32 (1982) no. 2, pp. 23-36

Every n-dimensional complex manifold (connected, paracompact and Hausdorff) is the image of the unit ball in C n under a finite holomorphic map that is locally biholomorphic.

Pour toute variété complexe à n dimensions M qui est connexe, paracompacte et Hausdorff, il y a une submersion holomorphe de la boule unité B n de C n sur M qui est finie.

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     title = {Regular holomorphic images of balls},
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Fornaess, John Erik; Stout, Edgar Lee. Regular holomorphic images of balls. Annales de l'Institut Fourier, Tome 32 (1982) no. 2, pp. 23-36. doi: 10.5802/aif.871

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[2] J. E. Fornaess and E. L. Stout, Spreading polydiscs on complex manifolds, Amer. J. Math., 99 (1977), 933-960. | Zbl | MR

[3] J. E. Fornaess and E. L. Stout, Polydiscs in complex manifolds, Math. Ann., 227 (1977), 145-153. | Zbl | MR

[4] S. Kobayashi, Hyperbolic Manifolds and Holomorphic Mappings, Marcel Dekker, New York, 1970. | Zbl | MR

[5] A. I. Markushevich, Theory of Functions of a Complex Variable, vol. III, Prentice-Hall, Englewood Cliffs, 1967. | Zbl | MR

[6] E. M. Stein, Singular Integrals and Differentiability Properties of Functions, Princeton University Press, Princeton, 1970. | Zbl | MR

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