The Szeg\"O kernel on an orbifold circle bundle
Differential Geometry
2007-05-23 v1 Analysis of PDEs
Abstract
The analysis of holomorphic sections of high powers of holomorphic ample line bundles over compact K\"ahler manifolds has been widely applied in complex geometry and mathematical physics. The Tian-Yau-Zelditch's asymptotic expansion of the Szeg\"o kernel of a circle bundle plays an important role in K\"ahler-Einstein geometry. We generalize the expansion for compact K\"ahler orbifolds with only finite isolated singularities and analyze the behavior of the expansion near the singularities.
Cite
@article{arxiv.math/0405071,
title = {The Szeg\"O kernel on an orbifold circle bundle},
author = {Jian Song},
journal= {arXiv preprint arXiv:math/0405071},
year = {2007}
}