Restricted Bergman kernel asymptotics
Complex Variables
2012-02-17 v2 Algebraic Geometry
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.
Cite
@article{arxiv.1201.4233,
title = {Restricted Bergman kernel asymptotics},
author = {Tomoyuki Hisamoto},
journal= {arXiv preprint arXiv:1201.4233},
year = {2012}
}
Comments
24 pages, version 2: additional comments on Theorem 1.4, updated references, to appear in Transactions of the American Mathematical Society