Holomorphic submersions from Stein manifolds

Forstnerič, Franc

doi:10.5802/aif.2071

Holomorphic submersions from Stein manifolds
[Submersions holomorphes d'une variété de Stein]

Forstnerič, Franc ¹

¹ Institute of Mathematics, Physics and Mechanics, University of Ljubljana, Jadranska 19, 1000 Ljubljana (Slovenia)

Annales de l'Institut Fourier, Tome 54 (2004) no. 6, pp. 1913-1942.

Résumé
Abstract

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.

MR Zbl | 1 citation dans Numdam

DOI : 10.5802/aif.2071

Classification : 32E10, 32E30, 32H02
Keywords: Stein manifolds, holomorphic submersions, Oka principle
Mot clés : variétés de Stein, submersions holomorphes, principe d'Oka

Affiliations des auteurs :

Forstnerič, Franc ¹

¹ Institute of Mathematics, Physics and Mechanics, University of Ljubljana, Jadranska 19, 1000 Ljubljana (Slovenia)

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     title = {Holomorphic submersions from {Stein} manifolds},
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     publisher = {Association des Annales de l{\textquoteright}institut Fourier},
     volume = {54},
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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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