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 . In particular, Cousin-I proper open sets of ℙ² are Stein. We also study K-envelopes of holomorphy of K-complete spaces.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ap96-1-4, author = {Ilie B\^arz\u a and Viorel V\^aj\^aitu}, title = {Cousin-I spaces and domains of holomorphy}, journal = {Annales Polonici Mathematici}, volume = {95}, year = {2009}, pages = {51-60}, zbl = {1171.32003}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap96-1-4} }
Ilie Bârză; Viorel Vâjâitu. Cousin-I spaces and domains of holomorphy. Annales Polonici Mathematici, Tome 95 (2009) pp. 51-60. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap96-1-4/