A relative completeness theorem
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We prove a relative n-completeness theorem asserting that a complex space Y that fibers over a complex space X of dimension less than n is n-complete provided that Y admits a continuous exhaustion function that is strictly plurisubharmonic along fibers. We apply it to a particular case related to Skoda’s conjecture.
Keywordsq-Convex function Plurisubharmonic function Skoda’s conjecture
Mathematics Subject Classification32F10 32U05
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