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math.CV2005
Asymptotics for Bergman-Hodge kernels for high powers of complex line bundles
Robert Berman, Johannes Sjoestrand
In this paper we obtain the full asymptotic expansion of the Bergman-Hodge kernel associated to a high power of a holomorphic line bundle with non-degenerate curvature. We also exp…
math.CV2005
Asymptotics of Bergman kernels
Robert Berman, Bo Berndtsson, Johannes Sjoestrand
We give an elementary proof of the existence of an asymptotic expansion in powers of of the Bergman kernel associated to , where is a positive line bundle. We also giv…