Variation of Bergman kernels of adjoint line bundles
Complex Variables
2007-05-23 v1 Algebraic Geometry
Abstract
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.
Keywords
Cite
@article{arxiv.math/0511342,
title = {Variation of Bergman kernels of adjoint line bundles},
author = {Hajime Tsuji},
journal= {arXiv preprint arXiv:math/0511342},
year = {2007}
}