Restricted Bergman kernel asymptotics

Mathematics – Complex Variables

Scientific paper

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24 pages, version 2: additional comments on Theorem 1.4, updated references, to appear in Transactions of the American Mathema

Scientific paper

In this paper, we investigate a restricted version of Bergman kernels for
high powers of a big line bundle over a smooth projective variety. The
geometric meaning of the leading term is specified. As a byproduct, we derive
some integral representations for the restricted volume.

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