Curvature semipositivity of relative pluricanonical systems
Algebraic Geometry
2007-05-23 v2 Complex Variables
Abstract
We prove semipositivity of the curvature of the Narashimhan-Simha metric on an arbitrary flat projective family of varieties with only canonical singularities. This also implies that the direct image of pluricanonical systems have a natural continuous hermitian strucutre with semipositive curvature curvature current in the sense of Nakano. This is an improvement of the author's preprint ``Refined semipositivity and moduli of canonical models (2005)''.
Keywords
Cite
@article{arxiv.math/0703729,
title = {Curvature semipositivity of relative pluricanonical systems},
author = {Hajime Tsuji},
journal= {arXiv preprint arXiv:math/0703729},
year = {2007}
}
Comments
24pages no figure, Reference up dated and correction on the proof of Theorem 5.5