Curvature semipositivity of relative pluricanonical systems
Abstract
Description
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)''.
24pages no figure, Reference up dated and correction on the proof of Theorem 5.5
24pages no figure, Reference up dated and correction on the proof of Theorem 5.5