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

Makoto Abe

doi:10.4064/ap83-3-8

Geodesic

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

Makoto Abe ¹

¹ School of Health Sciences Kumamoto University Kumamoto 862-0976, Japan

Annales Polonici Mathematici, Tome 83 (2004) no. 3, pp. 269-272.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

Résumé

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

Affiliations des auteurs :

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. http://geodesic.mathdoc.fr/articles/10.4064/ap83-3-8/

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