Restricted Bergman kernel asymptotics

Hisamoto, Tomoyuki

doi:10.1090/S0002-9947-2012-05641-8

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ISSN 1088-6850(online) ISSN 0002-9947(print)

Restricted Bergman kernel asymptotics

Author: Tomoyuki Hisamoto
Journal: Trans. Amer. Math. Soc. 364 (2012), 3585-3607
MSC (2010): Primary 32A25; Secondary 32L10, 32W20
Posted: March 7, 2012
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Abstract: 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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