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December 2010 The Levi problem in the blow-up
Mihnea Colţoiu, Cezar Joiţa
Osaka J. Math. 47(4): 943-947 (December 2010).

Abstract

We prove that a locally Stein open subset of the blow-up of $\mathbb{C}^{n}$ at a point is Stein if and only if it does not contain a subset of the form $U \setminus A$ where $A$ is the exceptional divisor and $U$ is an open neighborhood of $A$. We also study an analogous statement for locally Stein open subsets of line bundles over $\mathbb{P}^{n}$.

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Mihnea Colţoiu. Cezar Joiţa. "The Levi problem in the blow-up." Osaka J. Math. 47 (4) 943 - 947, December 2010.

Information

Published: December 2010
First available in Project Euclid: 20 December 2010

zbMATH: 1213.32005
MathSciNet: MR2791569

Subjects:
Primary: 32E41
Secondary: 32E10

Rights: Copyright © 2010 Osaka University and Osaka City University, Departments of Mathematics

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Vol.47 • No. 4 • December 2010
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