Variation of Bergman kernels of adjoint line bundles

Details Variation of Bergman kernels of adjoint line bundles Variation of Bergman kernels of adjoint line bundles

2005-11-14

arxiv.org/abs/math/0511342v1

Mathematics

Complex Variables

Scientific paper

Generalizing the recent result of Berndtsson, we prove the Nakano
semipositivity of the direct image of relative pluricanonical systems and the
direct image of relative adjoint (singular) hermitian line bundle with
semipositive curvature. This gives a new proof of Kawamata's theorem on the
semipositivity of the direct image of relative pluricanonical systems.

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