Generalized Bergmann Metrics and Invariance of Plurigenera
Complex Variables
2016-09-06 v1
Abstract
An invariant kernel for the pluricanonical system of a projective manifold of general type is introduced. Using this kernel we prove that the Yau volume form on a smooth projective variety has seminegative Ricci curvature. As a biproduct we prove the invariance of plurigenera for smooth projective deformations of manifolds of general type.
Keywords
Cite
@article{arxiv.math/9604228,
title = {Generalized Bergmann Metrics and Invariance of Plurigenera},
author = {Hajime Tsuji},
journal= {arXiv preprint arXiv:math/9604228},
year = {2016}
}