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Kählerian extensions of the symplectic reduction. (English) Zbl 0803.53042
The existence of a Kählerian Stein extension of a symplectic manifold is proved. It is shown that the symplectic structure on the reduction of the moment fiber is induced by the natural Kählerian quotient structure. A general context for studying singular symplectic structures via plurisubharmonic functions on Stein spaces is proposed.
Reviewer: P.Heinzner

##### MSC:
 53C55 Global differential geometry of Hermitian and Kählerian manifolds 53C15 General geometric structures on manifolds (almost complex, almost product structures, etc.) 32U05 Plurisubharmonic functions and generalizations 32F10 $$q$$-convexity, $$q$$-concavity
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