Pseudo-convexité locale dans les variétés kahlériennes
Elencwajg, Georges
Annales de l'Institut Fourier, Tome 25 (1975), p. 295-314 / Harvested from Numdam
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Soit D un ouvert relativement compact et localement pseudo-convexe de la variété analytique X.

Alors,

1) Si le fibré tangent TG(X) est positif, D est 0-convexe.

2) Si X admet une fonction strictement plurisousharmonique, D est de Stein.

3) Si X est l’espace total d’un morphisme de Stein à base de Stein, D est de Stein.

Let D be a relatively compact and locally pseudo-convex open subset of the analytic manifold X.

We prove the following:

1) If the tangent bundle TG(X) is positive, then D is 0-convex.

2) If there exists on X a strictly plurisubharmonic function, then D is Stein.

3) If X is the total space of a Stein morphism with Stein basis, then D is Stein.

@article{AIF_1975__25_2_295_0,
     author = {Elencwajg, Georges},
     title = {Pseudo-convexit\'e locale dans les vari\'et\'es kahl\'eriennes},
     journal = {Annales de l'Institut Fourier},
     volume = {25},
     year = {1975},
     pages = {295-314},
     doi = {10.5802/aif.568},
     mrnumber = {52 \#8501},
     zbl = {0278.32015},
     language = {fr},
     url = {http://dml.mathdoc.fr/item/AIF_1975__25_2_295_0}
}

Elencwajg, Georges. Pseudo-convexité locale dans les variétés kahlériennes. Annales de l'Institut Fourier, Tome 25 (1975) pp. 295-314. doi : 10.5802/aif.568. http://gdmltest.u-ga.fr/item/AIF_1975__25_2_295_0/

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