Direct images of relative pluricanonical bundles

2014/09/25 by Fujino, Osamu · 1 citation
#Algebraic Geometry (math.AG) #FOS: Mathematics #Primary 14D06 #Secondary 14E30

paper · doi:10.48550/arxiv.1409.7437

Abstract

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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• Effective positivity of Hodge bundles and applications

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