Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Variation of Bergman kernels of pseudoconvex domains   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.

20
The categories of this paper are: acc-phys
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The categories of this paper are: comp-gas
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The categories of this paper are: patt-sol
13
The categories of this paper are: quant-ph
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The categories of this paper are: solv-int
32
The categories of this paper are: atom-ph
5
The categories of this paper are: gr-qc
34
The categories of this paper are: chem-ph
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The categories of this paper are: mtrl-th
12
The categories of this paper are: nucl-th
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The categories of this paper are: nucl-ex
11
The categories of this paper are: hep-lat
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The categories of this paper are: nlin
31
The categories of this paper are: ao-sci
24
The categories of this paper are: dg-ga
18
The categories of this paper are: econ