Restricted Bergman kernel asymptotics
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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.References
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Additional Information
- Tomoyuki Hisamoto
- Affiliation: Graduate School of Mathematical Sciences, The University of Tokyo, 3-8-1 Komaba Meguro-ku, Tokyo 153-0041, Japan
- Email: hisamoto@ms.u-tokyo.ac.jp
- Received by editor(s): June 22, 2010
- Published electronically: March 7, 2012
- © Copyright 2012
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Trans. Amer. Math. Soc. 364 (2012), 3585-3607
- MSC (2010): Primary 32A25; Secondary 32L10, 32W20
- DOI: https://doi.org/10.1090/S0002-9947-2012-05641-8
- MathSciNet review: 2901225