Asymptotics of Bergman kernels

Details Asymptotics of Bergman kernels Asymptotics of Bergman kernels

2005-06-18

arxiv.org/abs/math/0506367v2

Mathematics

Complex Variables

revised, mainly stylistic changes

Scientific paper

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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