The SzegÖ kernel on an orbifold circle bundle
Jian Song
Abstract
The analysis of holomorphic sections of high powers LN of holomorphic ample line bundles L M over compact Kähler manifolds has been widely applied in complex geometry and mathematical physics. The Tian-Yau-Zelditch's asymptotic expansion of the Szegö kernel of a circle bundle plays an important role in Kähler-Einstein geometry. We generalize the expansion for compact Kähler orbifolds with only finite isolated singularities and analyze the behavior of the expansion near the singularities.
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