Holomorphic line bundles on a domain of a two-dimensional Stein manifold
Makoto Abe
Annales Polonici Mathematici, Tome 83 (2004), p. 269-272 / Harvested from The Polish Digital Mathematics Library
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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.

Publié le : 2004-01-01
EUDML-ID : urn:eudml:doc:280905 
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     year = {2004},
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Makoto Abe. Holomorphic line bundles on a domain of a two-dimensional Stein manifold. Annales Polonici Mathematici, Tome 83 (2004) pp. 269-272. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap83-3-8/