arXiv (Cornell University) · 2008 · 14 citations · 9 references
Open access
Natural SciencesMathematicsTopologyCovering SpacesSingularitiesStein Manifolds
Abstract. Let X be a connected normal complex space of dimension n ≥ 2 which is (n − 1)-complete, and let π: M → X be a resolution of singularities. By use of Takegoshi’s generalization of the Grauert-Riemenschneider vanishing theorem, we deduce H 1 cpt(M, O) = 0, which in turn implies Hartogs ’ extension theorem on X by the ∂-technique of Ehrenpreis. 1.
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On Levi's Problem and the Imbedding of Real-Analytic Manifolds
Hans Grauert · Annals of Mathematics · 1958 · 624 citations
The Levi problem for complex spaces
Raghavan Narasimhan · Mathematische Annalen · 1961 · 222 citations