Abstract Bergman kernel expansion and its applications
Differential Geometry
2014-12-16 v2
Abstract
We give a purely complex geometric proof of the existence of the Bergman kernel expansion. Our method provides a sharper estimate, and in the case that the metrics are real analytic, we prove that the remainder decays faster than any polynomial.
Cite
@article{arxiv.1105.0221,
title = {Abstract Bergman kernel expansion and its applications},
author = {Chiung-ju Liu and Zhiqin Lu},
journal= {arXiv preprint arXiv:1105.0221},
year = {2014}
}
Comments
Revised version of the previous version