Affiliation:
1. Université des Sciences et Technologies de Lille 1, Laboratoire Paul Painlevé, Bât. M2, 59655 Villeneuve d'Ascq Cedex, France
Abstract
Abstract.
Let
X
$X$
be a complex space and
k
$k$
be a positive integer such
the cohomology groups
H
1
(
X
,
)
,
...
,
H
k
(
X
,
)
$H^1(X,{\cal O}), \ldots , H^{k}(X,{\cal O})$
are of finite dimension.
If there is a holomorphic map
f
:
X
k
$f:X \longrightarrow ^k $
with fibres Stein, then
X
$X$
is Stein.
Subject
Applied Mathematics,General Mathematics