A cohomological steinness criterion for holomorphically spreadable complex spaces |
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| Authors: | Viorel Vâjâitu |
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| Institution: | 1.Laboratoire Paul Painlevé,Université des Sciences et Technologies de Lille 1,Villeneuve d’Ascq Cedex,France |
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| Abstract: | Let X be a complex space of dimension n, not necessarily reduced, whose cohomology groups H
1(X, $
\mathcal{O}
$
\mathcal{O}
), ...,H
n−1(X, $
\mathcal{O}
$
\mathcal{O}
) are of finite dimension (as complex vector spaces). We show that X is Stein (resp., 1-convex) if, and only if, X is holomorphically
spreadable (resp., X is holomorphically spreadable at infinity). |
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| Keywords: | |
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