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Complex Variables and Elliptic Equations
An International Journal
Volume 51, 2006 - Issue 7
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Original Articles

Complex surfaces with vanishing cohomology and projective closures

Giuseppe Tomassini Scuola Normale Superiore, Piazza dei Cavalieri 7, I-56126 Pisa, Italy
&
Viorel Vâjâitu Institute of Mathematics of the Romanian Academy, P.O. Box 1-764, RO-014700, Bucharest, RomaniaCorrespondence[email protected]
Pages 645-652 | Received 24 Apr 2005, Published online: 10 Oct 2011
 
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Abstract

We show that if X is a complex surface which has a projective closure and vanishes, then X is Stein and .

Acknowledgement

V. Vâjâitu has been partially supported by a grant CEx05-D11-23/2005 from the Romanian Ministry of Education of Research.

Notes

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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