Covering stability of Bergman kernels on Kähler hyperbolic manifolds

Xu Wang

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arXiv · 1307.3685

Covering stability of Bergman kernels on Kähler hyperbolic manifolds

Xu Wang

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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.

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Xu Wang. 2013-07-13. Covering stability of Bergman kernels on Kähler hyperbolic manifolds. https://arxiv.org/abs/1307.3685

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