Variation of Bergman kernels of pseudoconvex domains
Complex Variables
2014-02-11 v1
Abstract
We shall give a variational formula of the full Bergman kernels associated to a family of smoothly bounded strongly pseudoconvex domains. An equivalent criterion for the triviality of holomorphic motions of planar domains in terms of the Bergman kernel is given as an application.
Keywords
Cite
@article{arxiv.1402.1960,
title = {Variation of Bergman kernels of pseudoconvex domains},
author = {Xu Wang},
journal= {arXiv preprint arXiv:1402.1960},
year = {2014}
}