Direct images of relative pluricanonical bundles
classification
🧮 math.AG
keywords
bundlesdirectimagespluricanonicalrelativesemipositivityassumptionconnected
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We discuss the local freeness and the numerical semipositivity of direct images of relative pluricanonical bundles for surjective morphisms between smooth projective varieties with connected fibers. We give a desirable semipositivity theorem under the assumption that the geometric generic fiber has a good minimal model.
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