Asymptotics of Bergman kernels

2005/06/18 by Berman, Robert, Berndtsson, Bo, Sjoestrand, Johannes
#32A25 #Complex Variables (math.CV) #FOS: Mathematics

paper · doi:10.48550/arxiv.math/0506367

Abstract

We give an elementary proof of the existence of an asymptotic expansion in powers of k of the Bergman kernel associated to L^k, where L is a positive line bundle. We also give an algorithm for computing the coefficients in the expansion.

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