Covering stability of Bergman kernels on Kähler hyperbolic manifolds

Abstract

This paper is a sequel to \cite{Xu}. In this paper, an estimation of the Bergman Kernel of Kähler hyperbolic manifold is given by the $L^2$ estimate and the Bochner formula. As an application, an effective criterion of the very ampleness of the canonical line bundle of Kähler hyperbolic manifold is given, which is a generalization of Yeung's result.

arXiv comment29 pages

References in corpus (1)

• Stability of the Bergman kernel on a tower of coverings