Cousin-I spaces and domains of holomorphy

• Autorzy: Ilie Bârză , Viorel Vâjâitu
• Języki publikacji: EN

Abstrakty

EN

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 $X_{reg}$. In particular, Cousin-I proper open sets of ℙ² are Stein. We also study K-envelopes of holomorphy of K-complete spaces.

Kategorie tematyczne

• 32D10: Envelopes of holomorphy
• 32D26: Riemann domains
• 32D05: Domains of holomorphy
• 32E10: Stein spaces, Stein manifolds

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2009
• Tom: 96
• Numer: 1
• Strony: 51-60

Daty

wydano

2009

Twórcy

autor

Ilie Bârză

• Department of Mathematics, Karlstad University, SE-651 88 Karlstad, Sweden

autor

Viorel Vâjâitu

• Laboratoire Paul Painlevé, Université des Sciences et Technologies de Lille 1, Bât. M2, F-59655 Villeneuve d'Ascq Cedex, France

Identyfikatory

DOI

10.4064/ap96-1-4