Nous établissons la classification homotopique des submersions holomorphes d'une variété de Stein sur une variété complexe satisfaisant une proprieté analytique introduite dans l'article. Le résultat est analogue au théorème de Gromov-Phillips sur les submersions lisses.
We establish the homotopy classification of holomorphic submersions from Stein manifolds to Complex manifolds satisfying an analytic property introduced in the paper. The result is a holomorphic analogue of the Gromov--Phillips theorem on smooth submersions.
Classification : 32E10, 32E30, 32H02
Mots clés : variétés de Stein, submersions holomorphes, principe d'Oka
@article{AIF_2004__54_6_1913_0, author = {Forstneri\v{c}, Franc}, title = {Holomorphic submersions from {Stein} manifolds}, journal = {Annales de l'Institut Fourier}, pages = {1913--1942}, publisher = {Association des Annales de l{\textquoteright}institut Fourier}, volume = {54}, number = {6}, year = {2004}, doi = {10.5802/aif.2071}, zbl = {1093.32003}, mrnumber = {2134229}, language = {en}, url = {http://archive.numdam.org/articles/10.5802/aif.2071/} }
TY - JOUR AU - Forstnerič, Franc TI - Holomorphic submersions from Stein manifolds JO - Annales de l'Institut Fourier PY - 2004 DA - 2004/// SP - 1913 EP - 1942 VL - 54 IS - 6 PB - Association des Annales de l’institut Fourier UR - http://archive.numdam.org/articles/10.5802/aif.2071/ UR - https://zbmath.org/?q=an%3A1093.32003 UR - https://www.ams.org/mathscinet-getitem?mr=2134229 UR - https://doi.org/10.5802/aif.2071 DO - 10.5802/aif.2071 LA - en ID - AIF_2004__54_6_1913_0 ER -
Forstnerič, Franc. Holomorphic submersions from Stein manifolds. Annales de l'Institut Fourier, Tome 54 (2004) no. 6, pp. 1913-1942. doi : 10.5802/aif.2071. http://archive.numdam.org/articles/10.5802/aif.2071/
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