Variation of Bergman kernels of pseudoconvex domains

Xu Wang

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arXiv · 1402.1960

Variation of Bergman kernels of pseudoconvex domains

Xu Wang

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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.

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Xu Wang. 2014-02-09. Variation of Bergman kernels of pseudoconvex domains. https://arxiv.org/abs/1402.1960

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