A Steinness criterion for Stein fibrations

Viorel Vâjâitu

doi:10.1515/form.2011.054

Published by De Gruyter January 19, 2012

A Steinness criterion for Stein fibrations

Viorel Vâjâitu

From the journal Forum Mathematicum

https://doi.org/10.1515/form.2011.054

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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.

Keywords.: Vanishing theorem; Stein space; 1-convex space; holomorphically spreadable complex space; Riemann domain

Received: 2009-06-30

Revised: 2010-02-25

Published Online: 2012-01-19

Published in Print: 2012-January

A Steinness criterion for Stein fibrations

Abstract.

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