Abstract.
Let 
X be a complex space and 
k be a positive integer such
the cohomology groups 
H 1 (X,),...,H k (X,) are of finite dimension.
If there is a holomorphic map 
f:X k with fibres Stein, then 
X is Stein.
Managing Editor: Ranicki, Andrew
null Brüdern, Jörg / Bruinier, Jan Hendrik / Cohen, Frederick R. / Droste, Manfred / Duzaar, Frank / Gallavotti, Giovanni / Garnier, Josselin / Neeb, Karl-Hermann / Noguchi, Junjiro / Segal, Dan / Freydoon, Shahidi / Shigekawa, Ichiro / Sogge, Christopher D. / Strambach, Karl
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A Steinness criterion for Stein fibrations
1Université des Sciences et Technologies de Lille 1, Laboratoire Paul Painlevé, Bât. M2, 59655 Villeneuve d'Ascq Cedex, France
Citation Information: Forum Mathematicum. Volume 24, Issue 1, Pages 151–159, ISSN (Online) 1435-5337, ISSN (Print) 0933-7741, DOI: 10.1515/form.2011.054, January 2012
Publication History:
Received: 30/06/2009;
Revised: 25/02/2010;
Published Online: 27/02/2012
Keywords.: Vanishing theorem; Stein space; 1-convex space; holomorphically spreadable complex space; Riemann domain
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