Geodesic
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.

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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.

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.

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://geodesic.mathdoc.fr/articles/10.1016/j.crma.2009.12.004/

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