Geodesic
Cousin-I spaces and domains of holomorphy
Ilie Bârză1 ; Viorel Vâjâitu2
1 Department of Mathematics Karlstad University SE-651 88 Karlstad, Sweden
2 Laboratoire Paul Painlevé Université des Sciences et Technologies de Lille 1 Bât. M2 F-59655 Villeneuve d'Ascq Cedex, France
Annales Polonici Mathematici, Tome 96 (2009) no. 1, pp. 51-60 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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We prove that a Cousin-I open set $ D$ of an irreducible projective surface $X$ is locally Stein at every boundary point which lies in $X_{\rm reg} $. In particular, Cousin-I proper open sets of ${\mathbb P}^2$ are Stein. We also study $K$-envelopes of holomorphy of $K$-complete spaces.
DOI : 10.4064/ap96-1-4
Keywords: prove cousin i set irreducible projective surface locally stein every boundary point which lies reg particular cousin i proper sets mathbb stein study k envelopes holomorphy k complete spaces

Ilie Bârză 1 ; Viorel Vâjâitu 2

1 Department of Mathematics Karlstad University SE-651 88 Karlstad, Sweden
2 Laboratoire Paul Painlevé Université des Sciences et Technologies de Lille 1 Bât. M2 F-59655 Villeneuve d'Ascq Cedex, France 
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Ilie Bârză; Viorel Vâjâitu. Cousin-I spaces and domains of holomorphy. Annales Polonici Mathematici, Tome 96 (2009) no. 1, pp. 51-60. doi: 10.4064/ap96-1-4

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