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 SM ISO690:2012GAŞIŢOI, Natalia. The Levi problem for Riemann domains over the blow-up of ℂn+1 at the origin. In: Osaka Journal of Mathematics, 2014, vol. 51, nr. 3, pp. 657-663. ISSN 0030-6126. |
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  Osaka Journal of Mathematics |
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| Volumul 51, Numărul 3 / 2014 / ISSN 0030-6126 | ||||||
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| Pag. 657-663 | ||||||
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We investigate unbranched Riemann domains p: X → ℂn+1 over the blow-up of ℂn+1 at the origin in the case when p is a Stein morphism. We prove that such a domain is Stein if and only if it does not contain an open set G ⊂ X such that p|G is injective and p(G) contains a subset of the form W \ A, where A is the exceptional divisor of ℂn+1 and W is an open neighborhood of A. |
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| Cuvinte-cheie Stein Manifold, Holomorphic, complex |
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