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arXiv · 0810.0782

Unbranched Riemann domains over Stein spaces and Cartier divisors

Youssef Alaoui
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Abstract

It is proved that an unbranched Riemann domain $\Pi : X\rightarrow Y$ over an arbitrary Stein complex space of dimension $n\geq 2$ is Stein if and only if $X$ is cohomologically $2$-complete with respect to the structure sheaf ${\mathcal{O}}_{X}$ and every topologically trivial holomorphic line bundle over $X$ is associated to a Cartier divisor.

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Youssef Alaoui. 2008-10-04. Unbranched Riemann domains over Stein spaces and Cartier divisors. https://arxiv.org/abs/0810.0782

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