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A Steinness criterion for Stein fibrations

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Published/Copyright: January 19, 2012

Abstract.

Let X be a complex space and k be a positive integer such the cohomology groups H1(X,),...,Hk(X,) are of finite dimension. If there is a holomorphic map f:Xk with fibres Stein, then X is Stein.

Received: 2009-06-30
Revised: 2010-02-25
Published Online: 2012-01-19
Published in Print: 2012-January

© 2012 by Walter de Gruyter Berlin Boston

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