Cousin-I spaces and domains of holomorphy

Ilie Bârză, and Viorel Vâjâitu. "Cousin-I spaces and domains of holomorphy." Annales Polonici Mathematici 96.1 (2009): 51-60. <http://eudml.org/doc/280863>.

@article{IlieBârză2009,
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 $X_\{reg\}$. In particular, Cousin-I proper open sets of ℙ² are Stein. We also study K-envelopes of holomorphy of K-complete spaces.},
author = {Ilie Bârză, Viorel Vâjâitu},
journal = {Annales Polonici Mathematici},
keywords = {Cousin-I space; domain of holomorphy; -complete space; Stein space},
language = {eng},
number = {1},
pages = {51-60},
title = {Cousin-I spaces and domains of holomorphy},
url = {http://eudml.org/doc/280863},
volume = {96},
year = {2009},
}

TY - JOUR
AU - Ilie Bârză
AU - Viorel Vâjâitu
TI - Cousin-I spaces and domains of holomorphy
JO - Annales Polonici Mathematici
PY - 2009
VL - 96
IS - 1
SP - 51
EP - 60
AB - 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.
LA - eng
KW - Cousin-I space; domain of holomorphy; -complete space; Stein space
UR - http://eudml.org/doc/280863
ER -