Regular holomorphic images of balls
Annales de l'Institut Fourier, Volume 32 (1982) no. 2, p. 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.

@article{AIF_1982__32_2_23_0,
author = {Fornaess, John Erik and Stout, Edgar Lee},
title = {Regular holomorphic images of balls},
journal = {Annales de l'Institut Fourier},
publisher = {Imprimerie Durand},
volume = {32},
number = {2},
year = {1982},
pages = {23-36},
doi = {10.5802/aif.871},
zbl = {0452.32008},
mrnumber = {84h:32026},
language = {en},
url = {http://www.numdam.org/item/AIF_1982__32_2_23_0}
}

Fornaess, John Erik; Stout, Edgar Lee. Regular holomorphic images of balls. Annales de l'Institut Fourier, Volume 32 (1982) no. 2, pp. 23-36. doi : 10.5802/aif.871. http://www.numdam.org/item/AIF_1982__32_2_23_0/

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