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We show that if X is a complex surface which has a projective closure and vanishes, then X is Stein and
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V. Vâjâitu has been partially supported by a grant CEx05-D11-23/2005 from the Romanian Ministry of Education of Research.
1 A complex space X is said to be holomorphically spreadable if, for any point x ∈ X, there exists a holomorphic map , such that x lies isolated in the fiber f
−1(f(x)).
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