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arxiv: math/0506367 · v2 · submitted 2005-06-18 · 🧮 math.CV

Asymptotics of Bergman kernels

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keywords bergmanexpansiongivealgorithmassociatedasymptoticasymptoticsbundle
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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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