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 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.
