Holomorphic line bundles on a domain of a two-dimensional Stein manifold

Makoto Abe. "Holomorphic line bundles on a domain of a two-dimensional Stein manifold." Annales Polonici Mathematici 83.3 (2004): 269-272. <http://eudml.org/doc/280905>.

@article{MakotoAbe2004,
abstract = {Let D be an open subset of a two-dimensional Stein manifold S. Then D is Stein if and only if every holomorphic line bundle L on D is the line bundle associated to some (not necessarily effective) Cartier divisor 𝔡 on D.},
author = {Makoto Abe},
journal = {Annales Polonici Mathematici},
keywords = {holomorphic line bundle; Cartier divisor; effective Cartier divisor; Stein manifold},
language = {eng},
number = {3},
pages = {269-272},
title = {Holomorphic line bundles on a domain of a two-dimensional Stein manifold},
url = {http://eudml.org/doc/280905},
volume = {83},
year = {2004},
}

TY - JOUR
AU - Makoto Abe
TI - Holomorphic line bundles on a domain of a two-dimensional Stein manifold
JO - Annales Polonici Mathematici
PY - 2004
VL - 83
IS - 3
SP - 269
EP - 272
AB - Let D be an open subset of a two-dimensional Stein manifold S. Then D is Stein if and only if every holomorphic line bundle L on D is the line bundle associated to some (not necessarily effective) Cartier divisor 𝔡 on D.
LA - eng
KW - holomorphic line bundle; Cartier divisor; effective Cartier divisor; Stein manifold
UR - http://eudml.org/doc/280905
ER -