Cousin-I spaces and domains of holomorphy
Volume 96 / 2009
Annales Polonici Mathematici 96 (2009), 51-60
MSC: 32D05, 32D10, 32D26, 32E10.
DOI: 10.4064/ap96-1-4
Abstract
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.
