no. 5
On proper discs in complex manifolds
[Sur les disques holomorphes propres dans les variétés analytiques complexes]
Drinovec Drnovšek, Barbara1
1 University of Ljubljana Institute of Mathematics, Physics and Mechanics Jadranska 19 SI-1000 Ljubljana (Slovenia)
Annales de l'Institut Fourier, Tome 57 (2007) no. 5, pp. 1521-1535.

Soit X une variété analytique complexe de dimension au moins 2 qui possède une fonction d’exhaustion telle que sa forme de Levi possède au moins 2 valeurs propres strictement positives en tout point de X. On construit les disques holomorphes dans X par n’importe quel point donné et dans n’importe quelle direction donnée.

Let X be a complex manifold of dimension at least 2 which has an exhaustion function whose Levi form has at each point at least 2 strictly positive eigenvalues. We construct proper holomorphic discs in X through any given point and in any given direction.

DOI : 10.5802/aif.2304
Classification : 32H35, 32C25
Keywords: Complex manifolds, proper holomorphic discs
Mot clés : variété analytique complexe, disque holomorphe propre
Drinovec Drnovšek, Barbara 1

1 University of Ljubljana Institute of Mathematics, Physics and Mechanics Jadranska 19 SI-1000 Ljubljana (Slovenia) 
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Drinovec Drnovšek, Barbara. On proper discs in complex manifolds. Annales de l'Institut Fourier, Tome 57 (2007) no. 5, pp. 1521-1535. doi : 10.5802/aif.2304. https://aif.centre-mersenne.org/articles/10.5802/aif.2304/

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