Canonical coordinates and Bergman metrics

Details Canonical coordinates and Bergman metrics Canonical coordinates and Bergman metrics

1996-10-22

arxiv.org/abs/dg-ga/9610011v3

Mathematics

Algebraic Geometry

44 pages, LaTex

Scientific paper

In this paper we will discuss local coordinates canonically corresponding to
a Kahler metric. We will also discuss and prove the $C^\infty$ convergence of
Bergman metrics following Tian's result on $C^2$ convergence of Bergman
metrics. At the end, we present an interesting characterization of ample line
bundle that could be useful in arithmetic geometry.

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