Cousin-I spaces and domains of holomorphy

Tom 96 / 2009

Ilie Bârză, Viorel Vâjâitu Annales Polonici Mathematici 96 (2009), 51-60 MSC: 32D05, 32D10, 32D26, 32E10. DOI: 10.4064/ap96-1-4

Streszczenie

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.

Autorzy

  • Ilie BârzăDepartment of Mathematics
    Karlstad University
    SE-651 88 Karlstad, Sweden
    e-mail
  • Viorel VâjâituLaboratoire Paul Painlevé
    Université des Sciences et Technologies de Lille 1
    Bât. M2
    F-59655 Villeneuve d'Ascq Cedex, France
    e-mail

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