no. 3-4
Complex Analysis
Oka maps
[Les applications d'Oka]

Présenté par : Mikhaël Gromov

Forstnerič, Franc1
1 Faculty of Mathematics and Physics, University of Ljubljana, and Institute of Mathematics, Physics and Mechanics, Jadranska 19, 1000 Ljubljana, Slovenia
Comptes Rendus. Mathématique, Tome 348 (2010) no. 3-4, pp. 145-148.

Nous prouvons que, pour une submersion holomorphe des espaces complexes réduits, la propriété d'Oka simple implique la propriété d'Oka paramétrique. En particulier, toute submersion sous-elliptique stratifié possède la propriété d'Oka paramétrique.

We prove that for a holomorphic submersion of reduced complex spaces, the basic Oka property implies the parametric Oka property. It follows that a stratified subelliptic submersion, or a stratified fiber bundle whose fibers are Oka manifolds, enjoys the parametric Oka property.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2009.12.004
Forstnerič, Franc 1

1 Faculty of Mathematics and Physics, University of Ljubljana, and Institute of Mathematics, Physics and Mechanics, Jadranska 19, 1000 Ljubljana, Slovenia 
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Forstnerič, Franc. Oka maps. Comptes Rendus. Mathématique, Tome 348 (2010) no. 3-4, pp. 145-148. doi : 10.1016/j.crma.2009.12.004. http://www.numdam.org/articles/10.1016/j.crma.2009.12.004/

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