Geodesic
Holomorphic line bundles on a domain of a two-dimensional Stein manifold
Makoto Abe1
1 School of Health Sciences Kumamoto University Kumamoto 862-0976, Japan
Annales Polonici Mathematici, Tome 83 (2004) no. 3, pp. 269-272 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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 $\mathfrak{d}$ on $D$.
DOI : 10.4064/ap83-3-8
Keywords: subset two dimensional stein manifold stein only every holomorphic line bundle line bundle associated necessarily effective cartier divisor mathfrak

Makoto Abe 1

1 School of Health Sciences Kumamoto University Kumamoto 862-0976, Japan 
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Makoto Abe. Holomorphic line bundles on a domain
 of a two-dimensional Stein manifold. Annales Polonici Mathematici, Tome 83 (2004) no. 3, pp. 269-272. doi: 10.4064/ap83-3-8

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