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Variation of Bergman kernels of pseudoconvex domains

Published 9 Feb 2014 in math.CV | (1402.1960v1)

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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